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Finding the Fourth Proportional to 201.61, 278.05 and 160.10

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Solution

The fourth proportional to 201.61, 278.05 and 160.10 is: 220.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.61 : 278.05 = 160.10 : x
  2. Step 2: Convert to fraction form
    201.61/278.05 = 160.10/x
  3. Step 3: Cross multiply
    201.61x = 278.05 × 160.10
  4. Step 4: Simplify right side
    201.61x = 44,513.61
  5. Step 5: Solve for x
    x = 44,513.61/201.61
  6. Step 6: Final answer
    x = 220.80

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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.