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Finding the Fourth Proportional to 233.63, 322.40 and 146.35

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Solution

The fourth proportional to 233.63, 322.40 and 146.35 is: 201.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.63 : 322.40 = 146.35 : x
  2. Step 2: Convert to fraction form
    233.63/322.40 = 146.35/x
  3. Step 3: Cross multiply
    233.63x = 322.40 × 146.35
  4. Step 4: Simplify right side
    233.63x = 47,183.24
  5. Step 5: Solve for x
    x = 47,183.24/233.63
  6. Step 6: Final answer
    x = 201.96

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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.