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Finding the Fourth Proportional to 302.61, 417.45 and 191.89

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Solution

The fourth proportional to 302.61, 417.45 and 191.89 is: 264.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.61 : 417.45 = 191.89 : x
  2. Step 2: Convert to fraction form
    302.61/417.45 = 191.89/x
  3. Step 3: Cross multiply
    302.61x = 417.45 × 191.89
  4. Step 4: Simplify right side
    302.61x = 80,104.20
  5. Step 5: Solve for x
    x = 80,104.20/302.61
  6. Step 6: Final answer
    x = 264.71

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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.