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Finding the Fourth Proportional to 233.93, 322.96 and 162.20

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Solution

The fourth proportional to 233.93, 322.96 and 162.20 is: 223.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.93 : 322.96 = 162.20 : x
  2. Step 2: Convert to fraction form
    233.93/322.96 = 162.20/x
  3. Step 3: Cross multiply
    233.93x = 322.96 × 162.20
  4. Step 4: Simplify right side
    233.93x = 52,384.11
  5. Step 5: Solve for x
    x = 52,384.11/233.93
  6. Step 6: Final answer
    x = 223.93

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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.