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Finding the Fourth Proportional to 233.34, 350.74 and 188.18

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Solution

The fourth proportional to 233.34, 350.74 and 188.18 is: 282.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.34 : 350.74 = 188.18 : x
  2. Step 2: Convert to fraction form
    233.34/350.74 = 188.18/x
  3. Step 3: Cross multiply
    233.34x = 350.74 × 188.18
  4. Step 4: Simplify right side
    233.34x = 66,002.25
  5. Step 5: Solve for x
    x = 66,002.25/233.34
  6. Step 6: Final answer
    x = 282.86

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Why These Related Problems?

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