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Finding the Fourth Proportional to 459.86, 689.70 and 135.15

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Solution

The fourth proportional to 459.86, 689.70 and 135.15 is: 202.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.86 : 689.70 = 135.15 : x
  2. Step 2: Convert to fraction form
    459.86/689.70 = 135.15/x
  3. Step 3: Cross multiply
    459.86x = 689.70 × 135.15
  4. Step 4: Simplify right side
    459.86x = 93,208.83
  5. Step 5: Solve for x
    x = 93,208.83/459.86
  6. Step 6: Final answer
    x = 202.69

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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.