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Finding the Fourth Proportional to 160.53, 220.98 and 146.86

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Solution

The fourth proportional to 160.53, 220.98 and 146.86 is: 202.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.53 : 220.98 = 146.86 : x
  2. Step 2: Convert to fraction form
    160.53/220.98 = 146.86/x
  3. Step 3: Cross multiply
    160.53x = 220.98 × 146.86
  4. Step 4: Simplify right side
    160.53x = 32,453.54
  5. Step 5: Solve for x
    x = 32,453.54/160.53
  6. Step 6: Final answer
    x = 202.16

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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.