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Finding the Fourth Proportional to 160.35, 240.51 and 99.48

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Solution

The fourth proportional to 160.35, 240.51 and 99.48 is: 149.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.35 : 240.51 = 99.48 : x
  2. Step 2: Convert to fraction form
    160.35/240.51 = 99.48/x
  3. Step 3: Cross multiply
    160.35x = 240.51 × 99.48
  4. Step 4: Simplify right side
    160.35x = 23,925.93
  5. Step 5: Solve for x
    x = 23,925.93/160.35
  6. Step 6: Final answer
    x = 149.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.