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Finding the Fourth Proportional to 495.29, 743.09 and 148.64

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Solution

The fourth proportional to 495.29, 743.09 and 148.64 is: 223.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.29 : 743.09 = 148.64 : x
  2. Step 2: Convert to fraction form
    495.29/743.09 = 148.64/x
  3. Step 3: Cross multiply
    495.29x = 743.09 × 148.64
  4. Step 4: Simplify right side
    495.29x = 110,449.28
  5. Step 5: Solve for x
    x = 110,449.28/495.29
  6. Step 6: Final answer
    x = 223.00

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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.