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Finding the Fourth Proportional to 153.62, 212.91 and 150.74

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Solution

The fourth proportional to 153.62, 212.91 and 150.74 is: 208.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.62 : 212.91 = 150.74 : x
  2. Step 2: Convert to fraction form
    153.62/212.91 = 150.74/x
  3. Step 3: Cross multiply
    153.62x = 212.91 × 150.74
  4. Step 4: Simplify right side
    153.62x = 32,094.05
  5. Step 5: Solve for x
    x = 32,094.05/153.62
  6. Step 6: Final answer
    x = 208.92

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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.