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Finding the Fourth Proportional to 467.77, 701.70 and 143.14

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Solution

The fourth proportional to 467.77, 701.70 and 143.14 is: 214.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.77 : 701.70 = 143.14 : x
  2. Step 2: Convert to fraction form
    467.77/701.70 = 143.14/x
  3. Step 3: Cross multiply
    467.77x = 701.70 × 143.14
  4. Step 4: Simplify right side
    467.77x = 100,441.34
  5. Step 5: Solve for x
    x = 100,441.34/467.77
  6. Step 6: Final answer
    x = 214.72

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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.