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Finding the Fourth Proportional to 152.22, 209.88 and 134.82

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Solution

The fourth proportional to 152.22, 209.88 and 134.82 is: 185.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.22 : 209.88 = 134.82 : x
  2. Step 2: Convert to fraction form
    152.22/209.88 = 134.82/x
  3. Step 3: Cross multiply
    152.22x = 209.88 × 134.82
  4. Step 4: Simplify right side
    152.22x = 28,296.02
  5. Step 5: Solve for x
    x = 28,296.02/152.22
  6. Step 6: Final answer
    x = 185.89

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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.