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Finding the Fourth Proportional to 147.84, 202.54 and 142.30

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Solution

The fourth proportional to 147.84, 202.54 and 142.30 is: 194.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.84 : 202.54 = 142.30 : x
  2. Step 2: Convert to fraction form
    147.84/202.54 = 142.30/x
  3. Step 3: Cross multiply
    147.84x = 202.54 × 142.30
  4. Step 4: Simplify right side
    147.84x = 28,821.98
  5. Step 5: Solve for x
    x = 28,821.98/147.84
  6. Step 6: Final answer
    x = 194.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.