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Finding the Fourth Proportional to 154.19, 213.89 and 145.99

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Solution

The fourth proportional to 154.19, 213.89 and 145.99 is: 202.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.19 : 213.89 = 145.99 : x
  2. Step 2: Convert to fraction form
    154.19/213.89 = 145.99/x
  3. Step 3: Cross multiply
    154.19x = 213.89 × 145.99
  4. Step 4: Simplify right side
    154.19x = 31,225.80
  5. Step 5: Solve for x
    x = 31,225.80/154.19
  6. Step 6: Final answer
    x = 202.52

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.