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Finding the Fourth Proportional to 221.16, 305.10 and 177.60

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Solution

The fourth proportional to 221.16, 305.10 and 177.60 is: 245.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.16 : 305.10 = 177.60 : x
  2. Step 2: Convert to fraction form
    221.16/305.10 = 177.60/x
  3. Step 3: Cross multiply
    221.16x = 305.10 × 177.60
  4. Step 4: Simplify right side
    221.16x = 54,185.76
  5. Step 5: Solve for x
    x = 54,185.76/221.16
  6. Step 6: Final answer
    x = 245.01

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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.