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Finding the Fourth Proportional to 495.78, 743.66 and 149.10

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Solution

The fourth proportional to 495.78, 743.66 and 149.10 is: 223.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.78 : 743.66 = 149.10 : x
  2. Step 2: Convert to fraction form
    495.78/743.66 = 149.10/x
  3. Step 3: Cross multiply
    495.78x = 743.66 × 149.10
  4. Step 4: Simplify right side
    495.78x = 110,879.71
  5. Step 5: Solve for x
    x = 110,879.71/495.78
  6. Step 6: Final answer
    x = 223.65

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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.