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Finding the Fourth Proportional to 302.81, 454.07 and 120.15

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Solution

The fourth proportional to 302.81, 454.07 and 120.15 is: 180.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.81 : 454.07 = 120.15 : x
  2. Step 2: Convert to fraction form
    302.81/454.07 = 120.15/x
  3. Step 3: Cross multiply
    302.81x = 454.07 × 120.15
  4. Step 4: Simplify right side
    302.81x = 54,556.81
  5. Step 5: Solve for x
    x = 54,556.81/302.81
  6. Step 6: Final answer
    x = 180.17

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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.