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Finding the Fourth Proportional to 205.16, 282.96 and 146.84

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Solution

The fourth proportional to 205.16, 282.96 and 146.84 is: 202.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.16 : 282.96 = 146.84 : x
  2. Step 2: Convert to fraction form
    205.16/282.96 = 146.84/x
  3. Step 3: Cross multiply
    205.16x = 282.96 × 146.84
  4. Step 4: Simplify right side
    205.16x = 41,549.85
  5. Step 5: Solve for x
    x = 41,549.85/205.16
  6. Step 6: Final answer
    x = 202.52

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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.