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Finding the Fourth Proportional to 143.56, 215.70 and 135.64

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Solution

The fourth proportional to 143.56, 215.70 and 135.64 is: 203.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.56 : 215.70 = 135.64 : x
  2. Step 2: Convert to fraction form
    143.56/215.70 = 135.64/x
  3. Step 3: Cross multiply
    143.56x = 215.70 × 135.64
  4. Step 4: Simplify right side
    143.56x = 29,257.55
  5. Step 5: Solve for x
    x = 29,257.55/143.56
  6. Step 6: Final answer
    x = 203.80

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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.