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Finding the Fourth Proportional to 240.96, 332.52 and 153.68

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Solution

The fourth proportional to 240.96, 332.52 and 153.68 is: 212.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.96 : 332.52 = 153.68 : x
  2. Step 2: Convert to fraction form
    240.96/332.52 = 153.68/x
  3. Step 3: Cross multiply
    240.96x = 332.52 × 153.68
  4. Step 4: Simplify right side
    240.96x = 51,101.67
  5. Step 5: Solve for x
    x = 51,101.67/240.96
  6. Step 6: Final answer
    x = 212.08

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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.