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Finding the Fourth Proportional to 228.42, 342.48 and 125.46

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Solution

The fourth proportional to 228.42, 342.48 and 125.46 is: 188.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.42 : 342.48 = 125.46 : x
  2. Step 2: Convert to fraction form
    228.42/342.48 = 125.46/x
  3. Step 3: Cross multiply
    228.42x = 342.48 × 125.46
  4. Step 4: Simplify right side
    228.42x = 42,967.54
  5. Step 5: Solve for x
    x = 42,967.54/228.42
  6. Step 6: Final answer
    x = 188.11

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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.