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Finding the Fourth Proportional to 235.78, 325.40 and 137.50

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Solution

The fourth proportional to 235.78, 325.40 and 137.50 is: 189.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.78 : 325.40 = 137.50 : x
  2. Step 2: Convert to fraction form
    235.78/325.40 = 137.50/x
  3. Step 3: Cross multiply
    235.78x = 325.40 × 137.50
  4. Step 4: Simplify right side
    235.78x = 44,742.50
  5. Step 5: Solve for x
    x = 44,742.50/235.78
  6. Step 6: Final answer
    x = 189.76

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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.