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Finding the Fourth Proportional to 459.80, 689.66 and 135.19

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Solution

The fourth proportional to 459.80, 689.66 and 135.19 is: 202.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.80 : 689.66 = 135.19 : x
  2. Step 2: Convert to fraction form
    459.80/689.66 = 135.19/x
  3. Step 3: Cross multiply
    459.80x = 689.66 × 135.19
  4. Step 4: Simplify right side
    459.80x = 93,235.14
  5. Step 5: Solve for x
    x = 93,235.14/459.80
  6. Step 6: Final answer
    x = 202.77

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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.