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Finding the Fourth Proportional to 302.24, 417.02 and 224.80

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Solution

The fourth proportional to 302.24, 417.02 and 224.80 is: 310.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.24 : 417.02 = 224.80 : x
  2. Step 2: Convert to fraction form
    302.24/417.02 = 224.80/x
  3. Step 3: Cross multiply
    302.24x = 417.02 × 224.80
  4. Step 4: Simplify right side
    302.24x = 93,746.10
  5. Step 5: Solve for x
    x = 93,746.10/302.24
  6. Step 6: Final answer
    x = 310.17

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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.