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Finding the Fourth Proportional to 332.29, 458.54 and 184.93

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Solution

The fourth proportional to 332.29, 458.54 and 184.93 is: 255.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.29 : 458.54 = 184.93 : x
  2. Step 2: Convert to fraction form
    332.29/458.54 = 184.93/x
  3. Step 3: Cross multiply
    332.29x = 458.54 × 184.93
  4. Step 4: Simplify right side
    332.29x = 84,800.04
  5. Step 5: Solve for x
    x = 84,800.04/332.29
  6. Step 6: Final answer
    x = 255.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.