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Finding the Fourth Proportional to 332.10, 497.95 and 149.75

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Solution

The fourth proportional to 332.10, 497.95 and 149.75 is: 224.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.10 : 497.95 = 149.75 : x
  2. Step 2: Convert to fraction form
    332.10/497.95 = 149.75/x
  3. Step 3: Cross multiply
    332.10x = 497.95 × 149.75
  4. Step 4: Simplify right side
    332.10x = 74,567.02
  5. Step 5: Solve for x
    x = 74,567.02/332.10
  6. Step 6: Final answer
    x = 224.53

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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.