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Finding the Fourth Proportional to 233.48, 349.92 and 189.95

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Solution

The fourth proportional to 233.48, 349.92 and 189.95 is: 284.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.48 : 349.92 = 189.95 : x
  2. Step 2: Convert to fraction form
    233.48/349.92 = 189.95/x
  3. Step 3: Cross multiply
    233.48x = 349.92 × 189.95
  4. Step 4: Simplify right side
    233.48x = 66,465.55
  5. Step 5: Solve for x
    x = 66,465.55/233.48
  6. Step 6: Final answer
    x = 284.67

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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.