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Finding the Fourth Proportional to 228.12, 342 and 141.36

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Solution

The fourth proportional to 228.12, 342 and 141.36 is: 211.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.12 : 342 = 141.36 : x
  2. Step 2: Convert to fraction form
    228.12/342 = 141.36/x
  3. Step 3: Cross multiply
    228.12x = 342 × 141.36
  4. Step 4: Simplify right side
    228.12x = 48,345.12
  5. Step 5: Solve for x
    x = 48,345.12/228.12
  6. Step 6: Final answer
    x = 211.93

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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.