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Finding the Fourth Proportional to 495.65, 743.42 and 148.98

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Solution

The fourth proportional to 495.65, 743.42 and 148.98 is: 223.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.65 : 743.42 = 148.98 : x
  2. Step 2: Convert to fraction form
    495.65/743.42 = 148.98/x
  3. Step 3: Cross multiply
    495.65x = 743.42 × 148.98
  4. Step 4: Simplify right side
    495.65x = 110,753.97
  5. Step 5: Solve for x
    x = 110,753.97/495.65
  6. Step 6: Final answer
    x = 223.45

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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.