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Finding the Fourth Proportional to 205.08, 282.84 and 146.76

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Solution

The fourth proportional to 205.08, 282.84 and 146.76 is: 202.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.08 : 282.84 = 146.76 : x
  2. Step 2: Convert to fraction form
    205.08/282.84 = 146.76/x
  3. Step 3: Cross multiply
    205.08x = 282.84 × 146.76
  4. Step 4: Simplify right side
    205.08x = 41,509.60
  5. Step 5: Solve for x
    x = 41,509.60/205.08
  6. Step 6: Final answer
    x = 202.41

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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.