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Finding the Fourth Proportional to 207.42, 286.65 and 155.13

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Solution

The fourth proportional to 207.42, 286.65 and 155.13 is: 214.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.42 : 286.65 = 155.13 : x
  2. Step 2: Convert to fraction form
    207.42/286.65 = 155.13/x
  3. Step 3: Cross multiply
    207.42x = 286.65 × 155.13
  4. Step 4: Simplify right side
    207.42x = 44,468.01
  5. Step 5: Solve for x
    x = 44,468.01/207.42
  6. Step 6: Final answer
    x = 214.39

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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.