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Finding the Fourth Proportional to 755.90, 1,133.78 and 208.14

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Solution

The fourth proportional to 755.90, 1,133.78 and 208.14 is: 312.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.90 : 1,133.78 = 208.14 : x
  2. Step 2: Convert to fraction form
    755.90/1,133.78 = 208.14/x
  3. Step 3: Cross multiply
    755.90x = 1,133.78 × 208.14
  4. Step 4: Simplify right side
    755.90x = 235,984.97
  5. Step 5: Solve for x
    x = 235,984.97/755.90
  6. Step 6: Final answer
    x = 312.19

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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.