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Finding the Fourth Proportional to 302.85, 453.91 and 248.10

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Solution

The fourth proportional to 302.85, 453.91 and 248.10 is: 371.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.85 : 453.91 = 248.10 : x
  2. Step 2: Convert to fraction form
    302.85/453.91 = 248.10/x
  3. Step 3: Cross multiply
    302.85x = 453.91 × 248.10
  4. Step 4: Simplify right side
    302.85x = 112,615.30
  5. Step 5: Solve for x
    x = 112,615.30/302.85
  6. Step 6: Final answer
    x = 371.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.