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Finding the Fourth Proportional to 233.72, 322.43 and 145.13

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Solution

The fourth proportional to 233.72, 322.43 and 145.13 is: 200.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.72 : 322.43 = 145.13 : x
  2. Step 2: Convert to fraction form
    233.72/322.43 = 145.13/x
  3. Step 3: Cross multiply
    233.72x = 322.43 × 145.13
  4. Step 4: Simplify right side
    233.72x = 46,794.27
  5. Step 5: Solve for x
    x = 46,794.27/233.72
  6. Step 6: Final answer
    x = 200.22

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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.