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Finding the Fourth Proportional to 224.13, 336.30 and 152.11

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Solution

The fourth proportional to 224.13, 336.30 and 152.11 is: 228.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.13 : 336.30 = 152.11 : x
  2. Step 2: Convert to fraction form
    224.13/336.30 = 152.11/x
  3. Step 3: Cross multiply
    224.13x = 336.30 × 152.11
  4. Step 4: Simplify right side
    224.13x = 51,152.15
  5. Step 5: Solve for x
    x = 51,152.15/224.13
  6. Step 6: Final answer
    x = 228.23

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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.