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Finding the Fourth Proportional to 332.60, 458.80 and 216.14

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Solution

The fourth proportional to 332.60, 458.80 and 216.14 is: 298.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.60 : 458.80 = 216.14 : x
  2. Step 2: Convert to fraction form
    332.60/458.80 = 216.14/x
  3. Step 3: Cross multiply
    332.60x = 458.80 × 216.14
  4. Step 4: Simplify right side
    332.60x = 99,165.03
  5. Step 5: Solve for x
    x = 99,165.03/332.60
  6. Step 6: Final answer
    x = 298.15

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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.