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Finding the Fourth Proportional to 459.85, 689.84 and 135.22

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Solution

The fourth proportional to 459.85, 689.84 and 135.22 is: 202.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.85 : 689.84 = 135.22 : x
  2. Step 2: Convert to fraction form
    459.85/689.84 = 135.22/x
  3. Step 3: Cross multiply
    459.85x = 689.84 × 135.22
  4. Step 4: Simplify right side
    459.85x = 93,276.04
  5. Step 5: Solve for x
    x = 93,276.04/459.85
  6. Step 6: Final answer
    x = 202.84

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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.