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Finding the Fourth Proportional to 302.47, 451.51 and 225.08

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Solution

The fourth proportional to 302.47, 451.51 and 225.08 is: 335.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.47 : 451.51 = 225.08 : x
  2. Step 2: Convert to fraction form
    302.47/451.51 = 225.08/x
  3. Step 3: Cross multiply
    302.47x = 451.51 × 225.08
  4. Step 4: Simplify right side
    302.47x = 101,624.74
  5. Step 5: Solve for x
    x = 101,624.74/302.47
  6. Step 6: Final answer
    x = 335.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.