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Finding the Fourth Proportional to 459.07, 688.10 and 150.66

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Solution

The fourth proportional to 459.07, 688.10 and 150.66 is: 225.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.07 : 688.10 = 150.66 : x
  2. Step 2: Convert to fraction form
    459.07/688.10 = 150.66/x
  3. Step 3: Cross multiply
    459.07x = 688.10 × 150.66
  4. Step 4: Simplify right side
    459.07x = 103,668.39
  5. Step 5: Solve for x
    x = 103,668.39/459.07
  6. Step 6: Final answer
    x = 225.82

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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.