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Finding the Fourth Proportional to 213.17, 319.43 and 155.51

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Solution

The fourth proportional to 213.17, 319.43 and 155.51 is: 233.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.17 : 319.43 = 155.51 : x
  2. Step 2: Convert to fraction form
    213.17/319.43 = 155.51/x
  3. Step 3: Cross multiply
    213.17x = 319.43 × 155.51
  4. Step 4: Simplify right side
    213.17x = 49,672.18
  5. Step 5: Solve for x
    x = 49,672.18/213.17
  6. Step 6: Final answer
    x = 233.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.