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Finding the Fourth Proportional to 755.99, 1,133.95 and 208.16

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Solution

The fourth proportional to 755.99, 1,133.95 and 208.16 is: 312.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.99 : 1,133.95 = 208.16 : x
  2. Step 2: Convert to fraction form
    755.99/1,133.95 = 208.16/x
  3. Step 3: Cross multiply
    755.99x = 1,133.95 × 208.16
  4. Step 4: Simplify right side
    755.99x = 236,037.62
  5. Step 5: Solve for x
    x = 236,037.62/755.99
  6. Step 6: Final answer
    x = 312.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.