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Finding the Fourth Proportional to 206.55, 285.02 and 118.02

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Solution

The fourth proportional to 206.55, 285.02 and 118.02 is: 162.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.55 : 285.02 = 118.02 : x
  2. Step 2: Convert to fraction form
    206.55/285.02 = 118.02/x
  3. Step 3: Cross multiply
    206.55x = 285.02 × 118.02
  4. Step 4: Simplify right side
    206.55x = 33,637.47
  5. Step 5: Solve for x
    x = 33,637.47/206.55
  6. Step 6: Final answer
    x = 162.85

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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.