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Finding the Fourth Proportional to 151.91, 209.35 and 110.40

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Solution

The fourth proportional to 151.91, 209.35 and 110.40 is: 152.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.91 : 209.35 = 110.40 : x
  2. Step 2: Convert to fraction form
    151.91/209.35 = 110.40/x
  3. Step 3: Cross multiply
    151.91x = 209.35 × 110.40
  4. Step 4: Simplify right side
    151.91x = 23,112.24
  5. Step 5: Solve for x
    x = 23,112.24/151.91
  6. Step 6: Final answer
    x = 152.14

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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.