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Finding the Fourth Proportional to 205.28, 282.57 and 156.14

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Solution

The fourth proportional to 205.28, 282.57 and 156.14 is: 214.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.28 : 282.57 = 156.14 : x
  2. Step 2: Convert to fraction form
    205.28/282.57 = 156.14/x
  3. Step 3: Cross multiply
    205.28x = 282.57 × 156.14
  4. Step 4: Simplify right side
    205.28x = 44,119.07
  5. Step 5: Solve for x
    x = 44,119.07/205.28
  6. Step 6: Final answer
    x = 214.93

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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.