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Finding the Fourth Proportional to 210.66, 314.22 and 185.28

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Solution

The fourth proportional to 210.66, 314.22 and 185.28 is: 276.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.66 : 314.22 = 185.28 : x
  2. Step 2: Convert to fraction form
    210.66/314.22 = 185.28/x
  3. Step 3: Cross multiply
    210.66x = 314.22 × 185.28
  4. Step 4: Simplify right side
    210.66x = 58,218.68
  5. Step 5: Solve for x
    x = 58,218.68/210.66
  6. Step 6: Final answer
    x = 276.36

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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.