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Finding the Fourth Proportional to 210.93, 291.22 and 161.72

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Solution

The fourth proportional to 210.93, 291.22 and 161.72 is: 223.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.93 : 291.22 = 161.72 : x
  2. Step 2: Convert to fraction form
    210.93/291.22 = 161.72/x
  3. Step 3: Cross multiply
    210.93x = 291.22 × 161.72
  4. Step 4: Simplify right side
    210.93x = 47,094.24
  5. Step 5: Solve for x
    x = 47,094.24/210.93
  6. Step 6: Final answer
    x = 223.27

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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.