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Finding the Fourth Proportional to 148.08, 204.10 and 143.72

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Solution

The fourth proportional to 148.08, 204.10 and 143.72 is: 198.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.08 : 204.10 = 143.72 : x
  2. Step 2: Convert to fraction form
    148.08/204.10 = 143.72/x
  3. Step 3: Cross multiply
    148.08x = 204.10 × 143.72
  4. Step 4: Simplify right side
    148.08x = 29,333.25
  5. Step 5: Solve for x
    x = 29,333.25/148.08
  6. Step 6: Final answer
    x = 198.09

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Why These Related Problems?

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