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Finding the Fourth Proportional to 233.91, 322.70 and 146.57

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Solution

The fourth proportional to 233.91, 322.70 and 146.57 is: 202.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.91 : 322.70 = 146.57 : x
  2. Step 2: Convert to fraction form
    233.91/322.70 = 146.57/x
  3. Step 3: Cross multiply
    233.91x = 322.70 × 146.57
  4. Step 4: Simplify right side
    233.91x = 47,295.79
  5. Step 5: Solve for x
    x = 47,295.79/233.91
  6. Step 6: Final answer
    x = 202.20

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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.