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Finding the Fourth Proportional to 153.99, 212.58 and 149.79

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Solution

The fourth proportional to 153.99, 212.58 and 149.79 is: 206.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.99 : 212.58 = 149.79 : x
  2. Step 2: Convert to fraction form
    153.99/212.58 = 149.79/x
  3. Step 3: Cross multiply
    153.99x = 212.58 × 149.79
  4. Step 4: Simplify right side
    153.99x = 31,842.36
  5. Step 5: Solve for x
    x = 31,842.36/153.99
  6. Step 6: Final answer
    x = 206.78

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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.