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Finding the Fourth Proportional to 160.95, 221.85 and 142.50

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Solution

The fourth proportional to 160.95, 221.85 and 142.50 is: 196.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.95 : 221.85 = 142.50 : x
  2. Step 2: Convert to fraction form
    160.95/221.85 = 142.50/x
  3. Step 3: Cross multiply
    160.95x = 221.85 × 142.50
  4. Step 4: Simplify right side
    160.95x = 31,613.63
  5. Step 5: Solve for x
    x = 31,613.63/160.95
  6. Step 6: Final answer
    x = 196.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.