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Finding the Fourth Proportional to 153.86, 212.32 and 129.24

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Solution

The fourth proportional to 153.86, 212.32 and 129.24 is: 178.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.86 : 212.32 = 129.24 : x
  2. Step 2: Convert to fraction form
    153.86/212.32 = 129.24/x
  3. Step 3: Cross multiply
    153.86x = 212.32 × 129.24
  4. Step 4: Simplify right side
    153.86x = 27,440.24
  5. Step 5: Solve for x
    x = 27,440.24/153.86
  6. Step 6: Final answer
    x = 178.35

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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.