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Finding the Fourth Proportional to 252.32, 348.22 and 152.76

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Solution

The fourth proportional to 252.32, 348.22 and 152.76 is: 210.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.32 : 348.22 = 152.76 : x
  2. Step 2: Convert to fraction form
    252.32/348.22 = 152.76/x
  3. Step 3: Cross multiply
    252.32x = 348.22 × 152.76
  4. Step 4: Simplify right side
    252.32x = 53,191.58
  5. Step 5: Solve for x
    x = 53,191.58/252.32
  6. Step 6: Final answer
    x = 210.81

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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.