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Finding the Fourth Proportional to 332.24, 497.93 and 178.07

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Solution

The fourth proportional to 332.24, 497.93 and 178.07 is: 266.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.24 : 497.93 = 178.07 : x
  2. Step 2: Convert to fraction form
    332.24/497.93 = 178.07/x
  3. Step 3: Cross multiply
    332.24x = 497.93 × 178.07
  4. Step 4: Simplify right side
    332.24x = 88,663.02
  5. Step 5: Solve for x
    x = 88,663.02/332.24
  6. Step 6: Final answer
    x = 266.87

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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.