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Finding the Fourth Proportional to 263.34, 363.36 and 176

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Solution

The fourth proportional to 263.34, 363.36 and 176 is: 242.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.34 : 363.36 = 176 : x
  2. Step 2: Convert to fraction form
    263.34/363.36 = 176/x
  3. Step 3: Cross multiply
    263.34x = 363.36 × 176
  4. Step 4: Simplify right side
    263.34x = 63,951.36
  5. Step 5: Solve for x
    x = 63,951.36/263.34
  6. Step 6: Final answer
    x = 242.85

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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.