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Finding the Fourth Proportional to 228.17, 342.40 and 120.04

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Solution

The fourth proportional to 228.17, 342.40 and 120.04 is: 180.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.17 : 342.40 = 120.04 : x
  2. Step 2: Convert to fraction form
    228.17/342.40 = 120.04/x
  3. Step 3: Cross multiply
    228.17x = 342.40 × 120.04
  4. Step 4: Simplify right side
    228.17x = 41,101.70
  5. Step 5: Solve for x
    x = 41,101.70/228.17
  6. Step 6: Final answer
    x = 180.14

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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.