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Finding the Fourth Proportional to 495.26, 742.88 and 153.26

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Solution

The fourth proportional to 495.26, 742.88 and 153.26 is: 229.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.26 : 742.88 = 153.26 : x
  2. Step 2: Convert to fraction form
    495.26/742.88 = 153.26/x
  3. Step 3: Cross multiply
    495.26x = 742.88 × 153.26
  4. Step 4: Simplify right side
    495.26x = 113,853.79
  5. Step 5: Solve for x
    x = 113,853.79/495.26
  6. Step 6: Final answer
    x = 229.89

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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.