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Finding the Fourth Proportional to 228.72, 342.88 and 111.57

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Solution

The fourth proportional to 228.72, 342.88 and 111.57 is: 167.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.72 : 342.88 = 111.57 : x
  2. Step 2: Convert to fraction form
    228.72/342.88 = 111.57/x
  3. Step 3: Cross multiply
    228.72x = 342.88 × 111.57
  4. Step 4: Simplify right side
    228.72x = 38,254.68
  5. Step 5: Solve for x
    x = 38,254.68/228.72
  6. Step 6: Final answer
    x = 167.25

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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.