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Finding the Fourth Proportional to 755.76, 1,133.66 and 208

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Solution

The fourth proportional to 755.76, 1,133.66 and 208 is: 312.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.76 : 1,133.66 = 208 : x
  2. Step 2: Convert to fraction form
    755.76/1,133.66 = 208/x
  3. Step 3: Cross multiply
    755.76x = 1,133.66 × 208
  4. Step 4: Simplify right side
    755.76x = 235,801.28
  5. Step 5: Solve for x
    x = 235,801.28/755.76
  6. Step 6: Final answer
    x = 312.01

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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.