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Finding the Fourth Proportional to 154.60, 231.90 and 145.80

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Solution

The fourth proportional to 154.60, 231.90 and 145.80 is: 218.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.60 : 231.90 = 145.80 : x
  2. Step 2: Convert to fraction form
    154.60/231.90 = 145.80/x
  3. Step 3: Cross multiply
    154.60x = 231.90 × 145.80
  4. Step 4: Simplify right side
    154.60x = 33,811.02
  5. Step 5: Solve for x
    x = 33,811.02/154.60
  6. Step 6: Final answer
    x = 218.70

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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.