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Finding the Fourth Proportional to 206.93, 285.55 and 124.00

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Solution

The fourth proportional to 206.93, 285.55 and 124.00 is: 171.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.93 : 285.55 = 124.00 : x
  2. Step 2: Convert to fraction form
    206.93/285.55 = 124.00/x
  3. Step 3: Cross multiply
    206.93x = 285.55 × 124.00
  4. Step 4: Simplify right side
    206.93x = 35,407.18
  5. Step 5: Solve for x
    x = 35,407.18/206.93
  6. Step 6: Final answer
    x = 171.10

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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.