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Finding the Fourth Proportional to 160.58, 221.14 and 153.29

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Solution

The fourth proportional to 160.58, 221.14 and 153.29 is: 211.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.58 : 221.14 = 153.29 : x
  2. Step 2: Convert to fraction form
    160.58/221.14 = 153.29/x
  3. Step 3: Cross multiply
    160.58x = 221.14 × 153.29
  4. Step 4: Simplify right side
    160.58x = 33,898.55
  5. Step 5: Solve for x
    x = 33,898.55/160.58
  6. Step 6: Final answer
    x = 211.10

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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.