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Finding the Fourth Proportional to 459.84, 689.82 and 147.42

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Solution

The fourth proportional to 459.84, 689.82 and 147.42 is: 221.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.84 : 689.82 = 147.42 : x
  2. Step 2: Convert to fraction form
    459.84/689.82 = 147.42/x
  3. Step 3: Cross multiply
    459.84x = 689.82 × 147.42
  4. Step 4: Simplify right side
    459.84x = 101,693.26
  5. Step 5: Solve for x
    x = 101,693.26/459.84
  6. Step 6: Final answer
    x = 221.15

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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.