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Finding the Fourth Proportional to 205.66, 282.99 and 156.25

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Solution

The fourth proportional to 205.66, 282.99 and 156.25 is: 215.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.66 : 282.99 = 156.25 : x
  2. Step 2: Convert to fraction form
    205.66/282.99 = 156.25/x
  3. Step 3: Cross multiply
    205.66x = 282.99 × 156.25
  4. Step 4: Simplify right side
    205.66x = 44,217.19
  5. Step 5: Solve for x
    x = 44,217.19/205.66
  6. Step 6: Final answer
    x = 215.00

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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.