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Finding the Fourth Proportional to 228.09, 342.12 and 146.75

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Solution

The fourth proportional to 228.09, 342.12 and 146.75 is: 220.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.09 : 342.12 = 146.75 : x
  2. Step 2: Convert to fraction form
    228.09/342.12 = 146.75/x
  3. Step 3: Cross multiply
    228.09x = 342.12 × 146.75
  4. Step 4: Simplify right side
    228.09x = 50,206.11
  5. Step 5: Solve for x
    x = 50,206.11/228.09
  6. Step 6: Final answer
    x = 220.12

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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.