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Finding the Fourth Proportional to 211.24, 291.78 and 162.28

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Solution

The fourth proportional to 211.24, 291.78 and 162.28 is: 224.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.24 : 291.78 = 162.28 : x
  2. Step 2: Convert to fraction form
    211.24/291.78 = 162.28/x
  3. Step 3: Cross multiply
    211.24x = 291.78 × 162.28
  4. Step 4: Simplify right side
    211.24x = 47,350.06
  5. Step 5: Solve for x
    x = 47,350.06/211.24
  6. Step 6: Final answer
    x = 224.15

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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.