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Finding the Fourth Proportional to 206.90, 285.65 and 124.04

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Solution

The fourth proportional to 206.90, 285.65 and 124.04 is: 171.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.90 : 285.65 = 124.04 : x
  2. Step 2: Convert to fraction form
    206.90/285.65 = 124.04/x
  3. Step 3: Cross multiply
    206.90x = 285.65 × 124.04
  4. Step 4: Simplify right side
    206.90x = 35,430.40
  5. Step 5: Solve for x
    x = 35,430.40/206.90
  6. Step 6: Final answer
    x = 171.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.