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Finding the Fourth Proportional to 235.41, 325.01 and 148.23

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Solution

The fourth proportional to 235.41, 325.01 and 148.23 is: 204.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.41 : 325.01 = 148.23 : x
  2. Step 2: Convert to fraction form
    235.41/325.01 = 148.23/x
  3. Step 3: Cross multiply
    235.41x = 325.01 × 148.23
  4. Step 4: Simplify right side
    235.41x = 48,176.60
  5. Step 5: Solve for x
    x = 48,176.60/235.41
  6. Step 6: Final answer
    x = 204.65

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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.