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Finding the Fourth Proportional to 232.92, 349.62 and 152.34

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Solution

The fourth proportional to 232.92, 349.62 and 152.34 is: 228.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.92 : 349.62 = 152.34 : x
  2. Step 2: Convert to fraction form
    232.92/349.62 = 152.34/x
  3. Step 3: Cross multiply
    232.92x = 349.62 × 152.34
  4. Step 4: Simplify right side
    232.92x = 53,261.11
  5. Step 5: Solve for x
    x = 53,261.11/232.92
  6. Step 6: Final answer
    x = 228.67

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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.