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Finding the Fourth Proportional to 302.40, 417.39 and 191.94

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Solution

The fourth proportional to 302.40, 417.39 and 191.94 is: 264.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.40 : 417.39 = 191.94 : x
  2. Step 2: Convert to fraction form
    302.40/417.39 = 191.94/x
  3. Step 3: Cross multiply
    302.40x = 417.39 × 191.94
  4. Step 4: Simplify right side
    302.40x = 80,111.55
  5. Step 5: Solve for x
    x = 80,111.55/302.40
  6. Step 6: Final answer
    x = 264.92

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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.