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Finding the Fourth Proportional to 332.76, 459.12 and 216.25

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Solution

The fourth proportional to 332.76, 459.12 and 216.25 is: 298.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.76 : 459.12 = 216.25 : x
  2. Step 2: Convert to fraction form
    332.76/459.12 = 216.25/x
  3. Step 3: Cross multiply
    332.76x = 459.12 × 216.25
  4. Step 4: Simplify right side
    332.76x = 99,284.70
  5. Step 5: Solve for x
    x = 99,284.70/332.76
  6. Step 6: Final answer
    x = 298.37

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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.