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Finding the Fourth Proportional to 153.96, 211.17 and 152.66

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Solution

The fourth proportional to 153.96, 211.17 and 152.66 is: 209.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.96 : 211.17 = 152.66 : x
  2. Step 2: Convert to fraction form
    153.96/211.17 = 152.66/x
  3. Step 3: Cross multiply
    153.96x = 211.17 × 152.66
  4. Step 4: Simplify right side
    153.96x = 32,236.16
  5. Step 5: Solve for x
    x = 32,236.16/153.96
  6. Step 6: Final answer
    x = 209.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.