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Finding the Fourth Proportional to 228.25, 342.38 and 76.25

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Solution

The fourth proportional to 228.25, 342.38 and 76.25 is: 114.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.25 : 342.38 = 76.25 : x
  2. Step 2: Convert to fraction form
    228.25/342.38 = 76.25/x
  3. Step 3: Cross multiply
    228.25x = 342.38 × 76.25
  4. Step 4: Simplify right side
    228.25x = 26,106.09
  5. Step 5: Solve for x
    x = 26,106.09/228.25
  6. Step 6: Final answer
    x = 114.38

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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.