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Finding the Fourth Proportional to 302.72, 454.10 and 120.20

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Solution

The fourth proportional to 302.72, 454.10 and 120.20 is: 180.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.72 : 454.10 = 120.20 : x
  2. Step 2: Convert to fraction form
    302.72/454.10 = 120.20/x
  3. Step 3: Cross multiply
    302.72x = 454.10 × 120.20
  4. Step 4: Simplify right side
    302.72x = 54,582.82
  5. Step 5: Solve for x
    x = 54,582.82/302.72
  6. Step 6: Final answer
    x = 180.31

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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.