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Finding the Fourth Proportional to 152.07, 209.34 and 131.61

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Solution

The fourth proportional to 152.07, 209.34 and 131.61 is: 181.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.07 : 209.34 = 131.61 : x
  2. Step 2: Convert to fraction form
    152.07/209.34 = 131.61/x
  3. Step 3: Cross multiply
    152.07x = 209.34 × 131.61
  4. Step 4: Simplify right side
    152.07x = 27,551.24
  5. Step 5: Solve for x
    x = 27,551.24/152.07
  6. Step 6: Final answer
    x = 181.17

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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.