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Finding the Fourth Proportional to 302.70, 453.98 and 86.22

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Solution

The fourth proportional to 302.70, 453.98 and 86.22 is: 129.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.70 : 453.98 = 86.22 : x
  2. Step 2: Convert to fraction form
    302.70/453.98 = 86.22/x
  3. Step 3: Cross multiply
    302.70x = 453.98 × 86.22
  4. Step 4: Simplify right side
    302.70x = 39,143.51
  5. Step 5: Solve for x
    x = 39,143.51/302.70
  6. Step 6: Final answer
    x = 129.32

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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.