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Finding the Fourth Proportional to 295.57, 443.13 and 178.48

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Solution

The fourth proportional to 295.57, 443.13 and 178.48 is: 267.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.57 : 443.13 = 178.48 : x
  2. Step 2: Convert to fraction form
    295.57/443.13 = 178.48/x
  3. Step 3: Cross multiply
    295.57x = 443.13 × 178.48
  4. Step 4: Simplify right side
    295.57x = 79,089.84
  5. Step 5: Solve for x
    x = 79,089.84/295.57
  6. Step 6: Final answer
    x = 267.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.