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Finding the Fourth Proportional to 228.90, 342.56 and 142.20

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Solution

The fourth proportional to 228.90, 342.56 and 142.20 is: 212.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.90 : 342.56 = 142.20 : x
  2. Step 2: Convert to fraction form
    228.90/342.56 = 142.20/x
  3. Step 3: Cross multiply
    228.90x = 342.56 × 142.20
  4. Step 4: Simplify right side
    228.90x = 48,712.03
  5. Step 5: Solve for x
    x = 48,712.03/228.90
  6. Step 6: Final answer
    x = 212.81

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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.