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Finding the Fourth Proportional to 263.30, 363.12 and 176

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Solution

The fourth proportional to 263.30, 363.12 and 176 is: 242.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.30 : 363.12 = 176 : x
  2. Step 2: Convert to fraction form
    263.30/363.12 = 176/x
  3. Step 3: Cross multiply
    263.30x = 363.12 × 176
  4. Step 4: Simplify right side
    263.30x = 63,909.12
  5. Step 5: Solve for x
    x = 63,909.12/263.30
  6. Step 6: Final answer
    x = 242.72

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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.