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Finding the Fourth Proportional to 228.22, 342.23 and 125.35

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Solution

The fourth proportional to 228.22, 342.23 and 125.35 is: 187.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.22 : 342.23 = 125.35 : x
  2. Step 2: Convert to fraction form
    228.22/342.23 = 125.35/x
  3. Step 3: Cross multiply
    228.22x = 342.23 × 125.35
  4. Step 4: Simplify right side
    228.22x = 42,897.05
  5. Step 5: Solve for x
    x = 42,897.05/228.22
  6. Step 6: Final answer
    x = 187.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.