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Finding the Fourth Proportional to 310.32, 465.75 and 166.14

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Solution

The fourth proportional to 310.32, 465.75 and 166.14 is: 249.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.32 : 465.75 = 166.14 : x
  2. Step 2: Convert to fraction form
    310.32/465.75 = 166.14/x
  3. Step 3: Cross multiply
    310.32x = 465.75 × 166.14
  4. Step 4: Simplify right side
    310.32x = 77,379.71
  5. Step 5: Solve for x
    x = 77,379.71/310.32
  6. Step 6: Final answer
    x = 249.35

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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.