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Finding the Fourth Proportional to 152.12, 228.20 and 126.20

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Solution

The fourth proportional to 152.12, 228.20 and 126.20 is: 189.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.12 : 228.20 = 126.20 : x
  2. Step 2: Convert to fraction form
    152.12/228.20 = 126.20/x
  3. Step 3: Cross multiply
    152.12x = 228.20 × 126.20
  4. Step 4: Simplify right side
    152.12x = 28,798.78
  5. Step 5: Solve for x
    x = 28,798.78/152.12
  6. Step 6: Final answer
    x = 189.31

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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.