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Finding the Fourth Proportional to 459.77, 689.52 and 135.10

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Solution

The fourth proportional to 459.77, 689.52 and 135.10 is: 202.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.77 : 689.52 = 135.10 : x
  2. Step 2: Convert to fraction form
    459.77/689.52 = 135.10/x
  3. Step 3: Cross multiply
    459.77x = 689.52 × 135.10
  4. Step 4: Simplify right side
    459.77x = 93,150.70
  5. Step 5: Solve for x
    x = 93,150.70/459.77
  6. Step 6: Final answer
    x = 202.60

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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.