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Finding the Fourth Proportional to 207.60, 310.79 and 153.74

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Solution

The fourth proportional to 207.60, 310.79 and 153.74 is: 230.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.60 : 310.79 = 153.74 : x
  2. Step 2: Convert to fraction form
    207.60/310.79 = 153.74/x
  3. Step 3: Cross multiply
    207.60x = 310.79 × 153.74
  4. Step 4: Simplify right side
    207.60x = 47,778.53
  5. Step 5: Solve for x
    x = 47,778.53/207.60
  6. Step 6: Final answer
    x = 230.15

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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.