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Finding the Fourth Proportional to 205.94, 284.01 and 156.74

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Solution

The fourth proportional to 205.94, 284.01 and 156.74 is: 216.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.94 : 284.01 = 156.74 : x
  2. Step 2: Convert to fraction form
    205.94/284.01 = 156.74/x
  3. Step 3: Cross multiply
    205.94x = 284.01 × 156.74
  4. Step 4: Simplify right side
    205.94x = 44,513.72
  5. Step 5: Solve for x
    x = 44,513.72/205.94
  6. Step 6: Final answer
    x = 216.15

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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.