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Finding the Fourth Proportional to 233.14, 321.56 and 155.62

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Solution

The fourth proportional to 233.14, 321.56 and 155.62 is: 214.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.14 : 321.56 = 155.62 : x
  2. Step 2: Convert to fraction form
    233.14/321.56 = 155.62/x
  3. Step 3: Cross multiply
    233.14x = 321.56 × 155.62
  4. Step 4: Simplify right side
    233.14x = 50,041.17
  5. Step 5: Solve for x
    x = 50,041.17/233.14
  6. Step 6: Final answer
    x = 214.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.