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Finding the Fourth Proportional to 148.16, 204.64 and 142.40

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Solution

The fourth proportional to 148.16, 204.64 and 142.40 is: 196.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.16 : 204.64 = 142.40 : x
  2. Step 2: Convert to fraction form
    148.16/204.64 = 142.40/x
  3. Step 3: Cross multiply
    148.16x = 204.64 × 142.40
  4. Step 4: Simplify right side
    148.16x = 29,140.74
  5. Step 5: Solve for x
    x = 29,140.74/148.16
  6. Step 6: Final answer
    x = 196.68

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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.