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Finding the Fourth Proportional to 161.53, 240.62 and 153.61

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Solution

The fourth proportional to 161.53, 240.62 and 153.61 is: 228.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.53 : 240.62 = 153.61 : x
  2. Step 2: Convert to fraction form
    161.53/240.62 = 153.61/x
  3. Step 3: Cross multiply
    161.53x = 240.62 × 153.61
  4. Step 4: Simplify right side
    161.53x = 36,961.64
  5. Step 5: Solve for x
    x = 36,961.64/161.53
  6. Step 6: Final answer
    x = 228.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.