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Finding the Fourth Proportional to 247.59, 370.84 and 156.06

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Solution

The fourth proportional to 247.59, 370.84 and 156.06 is: 233.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.59 : 370.84 = 156.06 : x
  2. Step 2: Convert to fraction form
    247.59/370.84 = 156.06/x
  3. Step 3: Cross multiply
    247.59x = 370.84 × 156.06
  4. Step 4: Simplify right side
    247.59x = 57,870.66
  5. Step 5: Solve for x
    x = 57,870.66/247.59
  6. Step 6: Final answer
    x = 233.74

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Why These Related Problems?

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