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Finding the Fourth Proportional to 206.32, 284.36 and 157.08

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Solution

The fourth proportional to 206.32, 284.36 and 157.08 is: 216.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.32 : 284.36 = 157.08 : x
  2. Step 2: Convert to fraction form
    206.32/284.36 = 157.08/x
  3. Step 3: Cross multiply
    206.32x = 284.36 × 157.08
  4. Step 4: Simplify right side
    206.32x = 44,667.27
  5. Step 5: Solve for x
    x = 44,667.27/206.32
  6. Step 6: Final answer
    x = 216.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.