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Finding the Fourth Proportional to 241, 332.40 and 152.53

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Solution

The fourth proportional to 241, 332.40 and 152.53 is: 210.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    241 : 332.40 = 152.53 : x
  2. Step 2: Convert to fraction form
    241/332.40 = 152.53/x
  3. Step 3: Cross multiply
    241x = 332.40 × 152.53
  4. Step 4: Simplify right side
    241x = 50,700.97
  5. Step 5: Solve for x
    x = 50,700.97/241
  6. Step 6: Final answer
    x = 210.38

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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.