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Finding the Fourth Proportional to 152.56, 229 and 111.86

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Solution

The fourth proportional to 152.56, 229 and 111.86 is: 167.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.56 : 229 = 111.86 : x
  2. Step 2: Convert to fraction form
    152.56/229 = 111.86/x
  3. Step 3: Cross multiply
    152.56x = 229 × 111.86
  4. Step 4: Simplify right side
    152.56x = 25,615.94
  5. Step 5: Solve for x
    x = 25,615.94/152.56
  6. Step 6: Final answer
    x = 167.91

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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.