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Finding the Fourth Proportional to 205.40, 282.84 and 147.08

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Solution

The fourth proportional to 205.40, 282.84 and 147.08 is: 202.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.40 : 282.84 = 147.08 : x
  2. Step 2: Convert to fraction form
    205.40/282.84 = 147.08/x
  3. Step 3: Cross multiply
    205.40x = 282.84 × 147.08
  4. Step 4: Simplify right side
    205.40x = 41,600.11
  5. Step 5: Solve for x
    x = 41,600.11/205.40
  6. Step 6: Final answer
    x = 202.53

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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.