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Finding the Fourth Proportional to 456.05, 684.10 and 147.84

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Solution

The fourth proportional to 456.05, 684.10 and 147.84 is: 221.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.05 : 684.10 = 147.84 : x
  2. Step 2: Convert to fraction form
    456.05/684.10 = 147.84/x
  3. Step 3: Cross multiply
    456.05x = 684.10 × 147.84
  4. Step 4: Simplify right side
    456.05x = 101,134.96
  5. Step 5: Solve for x
    x = 101,134.96/456.05
  6. Step 6: Final answer
    x = 221.76

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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.