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Finding the Fourth Proportional to 228.49, 315.35 and 130.26

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Solution

The fourth proportional to 228.49, 315.35 and 130.26 is: 179.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.49 : 315.35 = 130.26 : x
  2. Step 2: Convert to fraction form
    228.49/315.35 = 130.26/x
  3. Step 3: Cross multiply
    228.49x = 315.35 × 130.26
  4. Step 4: Simplify right side
    228.49x = 41,077.49
  5. Step 5: Solve for x
    x = 41,077.49/228.49
  6. Step 6: Final answer
    x = 179.78

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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.