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Finding the Fourth Proportional to 263.76, 394.95 and 176.95

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Solution

The fourth proportional to 263.76, 394.95 and 176.95 is: 264.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.76 : 394.95 = 176.95 : x
  2. Step 2: Convert to fraction form
    263.76/394.95 = 176.95/x
  3. Step 3: Cross multiply
    263.76x = 394.95 × 176.95
  4. Step 4: Simplify right side
    263.76x = 69,886.40
  5. Step 5: Solve for x
    x = 69,886.40/263.76
  6. Step 6: Final answer
    x = 264.96

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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.