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Finding the Fourth Proportional to 152.46, 228.90 and 120.06

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Solution

The fourth proportional to 152.46, 228.90 and 120.06 is: 180.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.46 : 228.90 = 120.06 : x
  2. Step 2: Convert to fraction form
    152.46/228.90 = 120.06/x
  3. Step 3: Cross multiply
    152.46x = 228.90 × 120.06
  4. Step 4: Simplify right side
    152.46x = 27,481.73
  5. Step 5: Solve for x
    x = 27,481.73/152.46
  6. Step 6: Final answer
    x = 180.26

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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.