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Finding the Fourth Proportional to 235.52, 325.02 and 137.28

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Solution

The fourth proportional to 235.52, 325.02 and 137.28 is: 189.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.52 : 325.02 = 137.28 : x
  2. Step 2: Convert to fraction form
    235.52/325.02 = 137.28/x
  3. Step 3: Cross multiply
    235.52x = 325.02 × 137.28
  4. Step 4: Simplify right side
    235.52x = 44,618.75
  5. Step 5: Solve for x
    x = 44,618.75/235.52
  6. Step 6: Final answer
    x = 189.45

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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.