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Finding the Fourth Proportional to 233.32, 321.59 and 186.55

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Solution

The fourth proportional to 233.32, 321.59 and 186.55 is: 257.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.32 : 321.59 = 186.55 : x
  2. Step 2: Convert to fraction form
    233.32/321.59 = 186.55/x
  3. Step 3: Cross multiply
    233.32x = 321.59 × 186.55
  4. Step 4: Simplify right side
    233.32x = 59,992.61
  5. Step 5: Solve for x
    x = 59,992.61/233.32
  6. Step 6: Final answer
    x = 257.13

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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.