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Finding the Fourth Proportional to 310.17, 465.30 and 115.12

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Solution

The fourth proportional to 310.17, 465.30 and 115.12 is: 172.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.17 : 465.30 = 115.12 : x
  2. Step 2: Convert to fraction form
    310.17/465.30 = 115.12/x
  3. Step 3: Cross multiply
    310.17x = 465.30 × 115.12
  4. Step 4: Simplify right side
    310.17x = 53,565.34
  5. Step 5: Solve for x
    x = 53,565.34/310.17
  6. Step 6: Final answer
    x = 172.70

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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.