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Finding the Fourth Proportional to 302.28, 417.06 and 223.71

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Solution

The fourth proportional to 302.28, 417.06 and 223.71 is: 308.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.28 : 417.06 = 223.71 : x
  2. Step 2: Convert to fraction form
    302.28/417.06 = 223.71/x
  3. Step 3: Cross multiply
    302.28x = 417.06 × 223.71
  4. Step 4: Simplify right side
    302.28x = 93,300.49
  5. Step 5: Solve for x
    x = 93,300.49/302.28
  6. Step 6: Final answer
    x = 308.66

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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.