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Finding the Fourth Proportional to 252.11, 347.86 and 152.50

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Solution

The fourth proportional to 252.11, 347.86 and 152.50 is: 210.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.11 : 347.86 = 152.50 : x
  2. Step 2: Convert to fraction form
    252.11/347.86 = 152.50/x
  3. Step 3: Cross multiply
    252.11x = 347.86 × 152.50
  4. Step 4: Simplify right side
    252.11x = 53,048.62
  5. Step 5: Solve for x
    x = 53,048.62/252.11
  6. Step 6: Final answer
    x = 210.42

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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.