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Finding the Fourth Proportional to 332.07, 498.14 and 167.55

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Solution

The fourth proportional to 332.07, 498.14 and 167.55 is: 251.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.07 : 498.14 = 167.55 : x
  2. Step 2: Convert to fraction form
    332.07/498.14 = 167.55/x
  3. Step 3: Cross multiply
    332.07x = 498.14 × 167.55
  4. Step 4: Simplify right side
    332.07x = 83,462.52
  5. Step 5: Solve for x
    x = 83,462.52/332.07
  6. Step 6: Final answer
    x = 251.34

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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.