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Finding the Fourth Proportional to 207.13, 310.66 and 62.82

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Solution

The fourth proportional to 207.13, 310.66 and 62.82 is: 94.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.13 : 310.66 = 62.82 : x
  2. Step 2: Convert to fraction form
    207.13/310.66 = 62.82/x
  3. Step 3: Cross multiply
    207.13x = 310.66 × 62.82
  4. Step 4: Simplify right side
    207.13x = 19,513.79
  5. Step 5: Solve for x
    x = 19,513.79/207.13
  6. Step 6: Final answer
    x = 94.21

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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.