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Finding the Fourth Proportional to 247.65, 370.98 and 117.78

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Solution

The fourth proportional to 247.65, 370.98 and 117.78 is: 176.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.65 : 370.98 = 117.78 : x
  2. Step 2: Convert to fraction form
    247.65/370.98 = 117.78/x
  3. Step 3: Cross multiply
    247.65x = 370.98 × 117.78
  4. Step 4: Simplify right side
    247.65x = 43,693.32
  5. Step 5: Solve for x
    x = 43,693.32/247.65
  6. Step 6: Final answer
    x = 176.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.