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Finding the Fourth Proportional to 236.61, 326.48 and 148.08

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Solution

The fourth proportional to 236.61, 326.48 and 148.08 is: 204.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.61 : 326.48 = 148.08 : x
  2. Step 2: Convert to fraction form
    236.61/326.48 = 148.08/x
  3. Step 3: Cross multiply
    236.61x = 326.48 × 148.08
  4. Step 4: Simplify right side
    236.61x = 48,343.53
  5. Step 5: Solve for x
    x = 48,343.53/236.61
  6. Step 6: Final answer
    x = 204.32

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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.