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Finding the Fourth Proportional to 252.25, 348.01 and 152.66

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Solution

The fourth proportional to 252.25, 348.01 and 152.66 is: 210.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.25 : 348.01 = 152.66 : x
  2. Step 2: Convert to fraction form
    252.25/348.01 = 152.66/x
  3. Step 3: Cross multiply
    252.25x = 348.01 × 152.66
  4. Step 4: Simplify right side
    252.25x = 53,127.69
  5. Step 5: Solve for x
    x = 53,127.69/252.25
  6. Step 6: Final answer
    x = 210.62

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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.