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Finding the Fourth Proportional to 147.32, 219.76 and 142.46

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Solution

The fourth proportional to 147.32, 219.76 and 142.46 is: 212.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.32 : 219.76 = 142.46 : x
  2. Step 2: Convert to fraction form
    147.32/219.76 = 142.46/x
  3. Step 3: Cross multiply
    147.32x = 219.76 × 142.46
  4. Step 4: Simplify right side
    147.32x = 31,307.18
  5. Step 5: Solve for x
    x = 31,307.18/147.32
  6. Step 6: Final answer
    x = 212.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.