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Finding the Fourth Proportional to 442.04, 663.04 and 153.46

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Solution

The fourth proportional to 442.04, 663.04 and 153.46 is: 230.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.04 : 663.04 = 153.46 : x
  2. Step 2: Convert to fraction form
    442.04/663.04 = 153.46/x
  3. Step 3: Cross multiply
    442.04x = 663.04 × 153.46
  4. Step 4: Simplify right side
    442.04x = 101,750.12
  5. Step 5: Solve for x
    x = 101,750.12/442.04
  6. Step 6: Final answer
    x = 230.18

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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.