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Finding the Fourth Proportional to 228.02, 342.12 and 106.26

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Solution

The fourth proportional to 228.02, 342.12 and 106.26 is: 159.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.02 : 342.12 = 106.26 : x
  2. Step 2: Convert to fraction form
    228.02/342.12 = 106.26/x
  3. Step 3: Cross multiply
    228.02x = 342.12 × 106.26
  4. Step 4: Simplify right side
    228.02x = 36,354.71
  5. Step 5: Solve for x
    x = 36,354.71/228.02
  6. Step 6: Final answer
    x = 159.44

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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.