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Finding the Fourth Proportional to 205.32, 307.56 and 114.06

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Solution

The fourth proportional to 205.32, 307.56 and 114.06 is: 170.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.32 : 307.56 = 114.06 : x
  2. Step 2: Convert to fraction form
    205.32/307.56 = 114.06/x
  3. Step 3: Cross multiply
    205.32x = 307.56 × 114.06
  4. Step 4: Simplify right side
    205.32x = 35,080.29
  5. Step 5: Solve for x
    x = 35,080.29/205.32
  6. Step 6: Final answer
    x = 170.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.