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Finding the Fourth Proportional to 459.73, 689.50 and 135.02

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Solution

The fourth proportional to 459.73, 689.50 and 135.02 is: 202.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.73 : 689.50 = 135.02 : x
  2. Step 2: Convert to fraction form
    459.73/689.50 = 135.02/x
  3. Step 3: Cross multiply
    459.73x = 689.50 × 135.02
  4. Step 4: Simplify right side
    459.73x = 93,096.29
  5. Step 5: Solve for x
    x = 93,096.29/459.73
  6. Step 6: Final answer
    x = 202.50

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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.