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Finding the Fourth Proportional to 228.47, 342.93 and 125.80

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Solution

The fourth proportional to 228.47, 342.93 and 125.80 is: 188.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.47 : 342.93 = 125.80 : x
  2. Step 2: Convert to fraction form
    228.47/342.93 = 125.80/x
  3. Step 3: Cross multiply
    228.47x = 342.93 × 125.80
  4. Step 4: Simplify right side
    228.47x = 43,138.25
  5. Step 5: Solve for x
    x = 43,138.25/228.47
  6. Step 6: Final answer
    x = 188.82

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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.