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Finding the Fourth Proportional to 240.58, 332.04 and 178.32

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Solution

The fourth proportional to 240.58, 332.04 and 178.32 is: 246.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.58 : 332.04 = 178.32 : x
  2. Step 2: Convert to fraction form
    240.58/332.04 = 178.32/x
  3. Step 3: Cross multiply
    240.58x = 332.04 × 178.32
  4. Step 4: Simplify right side
    240.58x = 59,208.48
  5. Step 5: Solve for x
    x = 59,208.48/240.58
  6. Step 6: Final answer
    x = 246.11

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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.