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Finding the Fourth Proportional to 224.28, 336.36 and 152.64

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Solution

The fourth proportional to 224.28, 336.36 and 152.64 is: 228.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.28 : 336.36 = 152.64 : x
  2. Step 2: Convert to fraction form
    224.28/336.36 = 152.64/x
  3. Step 3: Cross multiply
    224.28x = 336.36 × 152.64
  4. Step 4: Simplify right side
    224.28x = 51,341.99
  5. Step 5: Solve for x
    x = 51,341.99/224.28
  6. Step 6: Final answer
    x = 228.92

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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.