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Finding the Fourth Proportional to 233.48, 322.98 and 218

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Solution

The fourth proportional to 233.48, 322.98 and 218 is: 301.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.48 : 322.98 = 218 : x
  2. Step 2: Convert to fraction form
    233.48/322.98 = 218/x
  3. Step 3: Cross multiply
    233.48x = 322.98 × 218
  4. Step 4: Simplify right side
    233.48x = 70,409.64
  5. Step 5: Solve for x
    x = 70,409.64/233.48
  6. Step 6: Final answer
    x = 301.57

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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.