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Finding the Fourth Proportional to 162.49, 224.26 and 97.00

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Solution

The fourth proportional to 162.49, 224.26 and 97.00 is: 133.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.49 : 224.26 = 97.00 : x
  2. Step 2: Convert to fraction form
    162.49/224.26 = 97.00/x
  3. Step 3: Cross multiply
    162.49x = 224.26 × 97.00
  4. Step 4: Simplify right side
    162.49x = 21,753.26
  5. Step 5: Solve for x
    x = 21,753.26/162.49
  6. Step 6: Final answer
    x = 133.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.