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Finding the Fourth Proportional to 332.01, 497.73 and 139.77

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Solution

The fourth proportional to 332.01, 497.73 and 139.77 is: 209.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.01 : 497.73 = 139.77 : x
  2. Step 2: Convert to fraction form
    332.01/497.73 = 139.77/x
  3. Step 3: Cross multiply
    332.01x = 497.73 × 139.77
  4. Step 4: Simplify right side
    332.01x = 69,567.72
  5. Step 5: Solve for x
    x = 69,567.72/332.01
  6. Step 6: Final answer
    x = 209.54

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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.