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Finding the Fourth Proportional to 228.02, 341.68 and 106.14

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Solution

The fourth proportional to 228.02, 341.68 and 106.14 is: 159.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.02 : 341.68 = 106.14 : x
  2. Step 2: Convert to fraction form
    228.02/341.68 = 106.14/x
  3. Step 3: Cross multiply
    228.02x = 341.68 × 106.14
  4. Step 4: Simplify right side
    228.02x = 36,263.68
  5. Step 5: Solve for x
    x = 36,263.68/228.02
  6. Step 6: Final answer
    x = 159.04

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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.