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Finding the Fourth Proportional to 302.95, 454.14 and 120.20

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Solution

The fourth proportional to 302.95, 454.14 and 120.20 is: 180.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.95 : 454.14 = 120.20 : x
  2. Step 2: Convert to fraction form
    302.95/454.14 = 120.20/x
  3. Step 3: Cross multiply
    302.95x = 454.14 × 120.20
  4. Step 4: Simplify right side
    302.95x = 54,587.63
  5. Step 5: Solve for x
    x = 54,587.63/302.95
  6. Step 6: Final answer
    x = 180.19

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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.