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Finding the Fourth Proportional to 442.61, 663.69 and 150.02

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Solution

The fourth proportional to 442.61, 663.69 and 150.02 is: 224.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.61 : 663.69 = 150.02 : x
  2. Step 2: Convert to fraction form
    442.61/663.69 = 150.02/x
  3. Step 3: Cross multiply
    442.61x = 663.69 × 150.02
  4. Step 4: Simplify right side
    442.61x = 99,563.46
  5. Step 5: Solve for x
    x = 99,563.46/442.61
  6. Step 6: Final answer
    x = 224.95

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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.