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Finding the Fourth Proportional to 233.56, 322.30 and 145.02

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Solution

The fourth proportional to 233.56, 322.30 and 145.02 is: 200.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.56 : 322.30 = 145.02 : x
  2. Step 2: Convert to fraction form
    233.56/322.30 = 145.02/x
  3. Step 3: Cross multiply
    233.56x = 322.30 × 145.02
  4. Step 4: Simplify right side
    233.56x = 46,739.95
  5. Step 5: Solve for x
    x = 46,739.95/233.56
  6. Step 6: Final answer
    x = 200.12

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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.