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Finding the Fourth Proportional to 207.13, 310.71 and 104.62

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Solution

The fourth proportional to 207.13, 310.71 and 104.62 is: 156.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.13 : 310.71 = 104.62 : x
  2. Step 2: Convert to fraction form
    207.13/310.71 = 104.62/x
  3. Step 3: Cross multiply
    207.13x = 310.71 × 104.62
  4. Step 4: Simplify right side
    207.13x = 32,506.48
  5. Step 5: Solve for x
    x = 32,506.48/207.13
  6. Step 6: Final answer
    x = 156.94

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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.