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Finding the Fourth Proportional to 224.32, 336.54 and 102.67

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Solution

The fourth proportional to 224.32, 336.54 and 102.67 is: 154.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.32 : 336.54 = 102.67 : x
  2. Step 2: Convert to fraction form
    224.32/336.54 = 102.67/x
  3. Step 3: Cross multiply
    224.32x = 336.54 × 102.67
  4. Step 4: Simplify right side
    224.32x = 34,551.53
  5. Step 5: Solve for x
    x = 34,551.53/224.32
  6. Step 6: Final answer
    x = 154.03

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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.