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Finding the Fourth Proportional to 210.72, 314.22 and 205.26

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Solution

The fourth proportional to 210.72, 314.22 and 205.26 is: 306.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.72 : 314.22 = 205.26 : x
  2. Step 2: Convert to fraction form
    210.72/314.22 = 205.26/x
  3. Step 3: Cross multiply
    210.72x = 314.22 × 205.26
  4. Step 4: Simplify right side
    210.72x = 64,496.80
  5. Step 5: Solve for x
    x = 64,496.80/210.72
  6. Step 6: Final answer
    x = 306.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.