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Finding the Fourth Proportional to 207.60, 310.98 and 156.30

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Solution

The fourth proportional to 207.60, 310.98 and 156.30 is: 234.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.60 : 310.98 = 156.30 : x
  2. Step 2: Convert to fraction form
    207.60/310.98 = 156.30/x
  3. Step 3: Cross multiply
    207.60x = 310.98 × 156.30
  4. Step 4: Simplify right side
    207.60x = 48,606.17
  5. Step 5: Solve for x
    x = 48,606.17/207.60
  6. Step 6: Final answer
    x = 234.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.