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Finding the Fourth Proportional to 228.34, 342.69 and 120.16

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Solution

The fourth proportional to 228.34, 342.69 and 120.16 is: 180.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.34 : 342.69 = 120.16 : x
  2. Step 2: Convert to fraction form
    228.34/342.69 = 120.16/x
  3. Step 3: Cross multiply
    228.34x = 342.69 × 120.16
  4. Step 4: Simplify right side
    228.34x = 41,177.63
  5. Step 5: Solve for x
    x = 41,177.63/228.34
  6. Step 6: Final answer
    x = 180.33

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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.