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Finding the Fourth Proportional to 459.87, 689.70 and 135.16

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Solution

The fourth proportional to 459.87, 689.70 and 135.16 is: 202.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.87 : 689.70 = 135.16 : x
  2. Step 2: Convert to fraction form
    459.87/689.70 = 135.16/x
  3. Step 3: Cross multiply
    459.87x = 689.70 × 135.16
  4. Step 4: Simplify right side
    459.87x = 93,219.85
  5. Step 5: Solve for x
    x = 93,219.85/459.87
  6. Step 6: Final answer
    x = 202.71

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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.