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Finding the Fourth Proportional to 205.19, 282.87 and 152.80

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Solution

The fourth proportional to 205.19, 282.87 and 152.80 is: 210.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.19 : 282.87 = 152.80 : x
  2. Step 2: Convert to fraction form
    205.19/282.87 = 152.80/x
  3. Step 3: Cross multiply
    205.19x = 282.87 × 152.80
  4. Step 4: Simplify right side
    205.19x = 43,222.54
  5. Step 5: Solve for x
    x = 43,222.54/205.19
  6. Step 6: Final answer
    x = 210.65

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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.