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Finding the Fourth Proportional to 228.52, 315.24 and 135.23

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Solution

The fourth proportional to 228.52, 315.24 and 135.23 is: 186.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.52 : 315.24 = 135.23 : x
  2. Step 2: Convert to fraction form
    228.52/315.24 = 135.23/x
  3. Step 3: Cross multiply
    228.52x = 315.24 × 135.23
  4. Step 4: Simplify right side
    228.52x = 42,629.47
  5. Step 5: Solve for x
    x = 42,629.47/228.52
  6. Step 6: Final answer
    x = 186.54

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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.