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Finding the Fourth Proportional to 205.07, 282.71 and 152.51

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Solution

The fourth proportional to 205.07, 282.71 and 152.51 is: 210.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.07 : 282.71 = 152.51 : x
  2. Step 2: Convert to fraction form
    205.07/282.71 = 152.51/x
  3. Step 3: Cross multiply
    205.07x = 282.71 × 152.51
  4. Step 4: Simplify right side
    205.07x = 43,115.07
  5. Step 5: Solve for x
    x = 43,115.07/205.07
  6. Step 6: Final answer
    x = 210.25

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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.