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Finding the Fourth Proportional to 152.14, 228.32 and 111.67

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Solution

The fourth proportional to 152.14, 228.32 and 111.67 is: 167.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.14 : 228.32 = 111.67 : x
  2. Step 2: Convert to fraction form
    152.14/228.32 = 111.67/x
  3. Step 3: Cross multiply
    152.14x = 228.32 × 111.67
  4. Step 4: Simplify right side
    152.14x = 25,496.49
  5. Step 5: Solve for x
    x = 25,496.49/152.14
  6. Step 6: Final answer
    x = 167.59

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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.