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Finding the Fourth Proportional to 247.09, 340.96 and 152.55

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Solution

The fourth proportional to 247.09, 340.96 and 152.55 is: 210.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.09 : 340.96 = 152.55 : x
  2. Step 2: Convert to fraction form
    247.09/340.96 = 152.55/x
  3. Step 3: Cross multiply
    247.09x = 340.96 × 152.55
  4. Step 4: Simplify right side
    247.09x = 52,013.45
  5. Step 5: Solve for x
    x = 52,013.45/247.09
  6. Step 6: Final answer
    x = 210.50

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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.