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Finding the Fourth Proportional to 235.89, 325.50 and 148.71

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Solution

The fourth proportional to 235.89, 325.50 and 148.71 is: 205.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.89 : 325.50 = 148.71 : x
  2. Step 2: Convert to fraction form
    235.89/325.50 = 148.71/x
  3. Step 3: Cross multiply
    235.89x = 325.50 × 148.71
  4. Step 4: Simplify right side
    235.89x = 48,405.11
  5. Step 5: Solve for x
    x = 48,405.11/235.89
  6. Step 6: Final answer
    x = 205.20

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