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Finding the Fourth Proportional to 154.96, 214.04 and 130.48

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Solution

The fourth proportional to 154.96, 214.04 and 130.48 is: 180.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.96 : 214.04 = 130.48 : x
  2. Step 2: Convert to fraction form
    154.96/214.04 = 130.48/x
  3. Step 3: Cross multiply
    154.96x = 214.04 × 130.48
  4. Step 4: Simplify right side
    154.96x = 27,927.94
  5. Step 5: Solve for x
    x = 27,927.94/154.96
  6. Step 6: Final answer
    x = 180.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.