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Finding the Fourth Proportional to 211.66, 315.71 and 186.28

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Solution

The fourth proportional to 211.66, 315.71 and 186.28 is: 277.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.66 : 315.71 = 186.28 : x
  2. Step 2: Convert to fraction form
    211.66/315.71 = 186.28/x
  3. Step 3: Cross multiply
    211.66x = 315.71 × 186.28
  4. Step 4: Simplify right side
    211.66x = 58,810.46
  5. Step 5: Solve for x
    x = 58,810.46/211.66
  6. Step 6: Final answer
    x = 277.85

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