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Finding the Fourth Proportional to 205.13, 282.60 and 152.58

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Solution

The fourth proportional to 205.13, 282.60 and 152.58 is: 210.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.13 : 282.60 = 152.58 : x
  2. Step 2: Convert to fraction form
    205.13/282.60 = 152.58/x
  3. Step 3: Cross multiply
    205.13x = 282.60 × 152.58
  4. Step 4: Simplify right side
    205.13x = 43,119.11
  5. Step 5: Solve for x
    x = 43,119.11/205.13
  6. Step 6: Final answer
    x = 210.21

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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.