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Finding the Fourth Proportional to 302.93, 417.76 and 197.90

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Solution

The fourth proportional to 302.93, 417.76 and 197.90 is: 272.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.93 : 417.76 = 197.90 : x
  2. Step 2: Convert to fraction form
    302.93/417.76 = 197.90/x
  3. Step 3: Cross multiply
    302.93x = 417.76 × 197.90
  4. Step 4: Simplify right side
    302.93x = 82,674.70
  5. Step 5: Solve for x
    x = 82,674.70/302.93
  6. Step 6: Final answer
    x = 272.92

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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.