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Finding the Fourth Proportional to 233.20, 322.21 and 188.52

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Solution

The fourth proportional to 233.20, 322.21 and 188.52 is: 260.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.20 : 322.21 = 188.52 : x
  2. Step 2: Convert to fraction form
    233.20/322.21 = 188.52/x
  3. Step 3: Cross multiply
    233.20x = 322.21 × 188.52
  4. Step 4: Simplify right side
    233.20x = 60,742.81
  5. Step 5: Solve for x
    x = 60,742.81/233.20
  6. Step 6: Final answer
    x = 260.47

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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.