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Finding the Fourth Proportional to 160.01, 240.35 and 153.66

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Solution

The fourth proportional to 160.01, 240.35 and 153.66 is: 230.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.01 : 240.35 = 153.66 : x
  2. Step 2: Convert to fraction form
    160.01/240.35 = 153.66/x
  3. Step 3: Cross multiply
    160.01x = 240.35 × 153.66
  4. Step 4: Simplify right side
    160.01x = 36,931.41
  5. Step 5: Solve for x
    x = 36,931.41/160.01
  6. Step 6: Final answer
    x = 230.81

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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.