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Finding the Fourth Proportional to 228.74, 315.72 and 224.15

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Solution

The fourth proportional to 228.74, 315.72 and 224.15 is: 309.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.74 : 315.72 = 224.15 : x
  2. Step 2: Convert to fraction form
    228.74/315.72 = 224.15/x
  3. Step 3: Cross multiply
    228.74x = 315.72 × 224.15
  4. Step 4: Simplify right side
    228.74x = 70,767.06
  5. Step 5: Solve for x
    x = 70,767.06/228.74
  6. Step 6: Final answer
    x = 309.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.