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Finding the Fourth Proportional to 211.88, 291.63 and 180.70

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Solution

The fourth proportional to 211.88, 291.63 and 180.70 is: 248.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.88 : 291.63 = 180.70 : x
  2. Step 2: Convert to fraction form
    211.88/291.63 = 180.70/x
  3. Step 3: Cross multiply
    211.88x = 291.63 × 180.70
  4. Step 4: Simplify right side
    211.88x = 52,697.49
  5. Step 5: Solve for x
    x = 52,697.49/211.88
  6. Step 6: Final answer
    x = 248.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.