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Finding the Fourth Proportional to 153.66, 212.52 and 137.26

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Solution

The fourth proportional to 153.66, 212.52 and 137.26 is: 189.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.66 : 212.52 = 137.26 : x
  2. Step 2: Convert to fraction form
    153.66/212.52 = 137.26/x
  3. Step 3: Cross multiply
    153.66x = 212.52 × 137.26
  4. Step 4: Simplify right side
    153.66x = 29,170.50
  5. Step 5: Solve for x
    x = 29,170.50/153.66
  6. Step 6: Final answer
    x = 189.84

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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.