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Finding the Fourth Proportional to 466.46, 699.49 and 141.77

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Solution

The fourth proportional to 466.46, 699.49 and 141.77 is: 212.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.46 : 699.49 = 141.77 : x
  2. Step 2: Convert to fraction form
    466.46/699.49 = 141.77/x
  3. Step 3: Cross multiply
    466.46x = 699.49 × 141.77
  4. Step 4: Simplify right side
    466.46x = 99,162.85
  5. Step 5: Solve for x
    x = 99,162.85/466.46
  6. Step 6: Final answer
    x = 212.58

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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.