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Finding the Fourth Proportional to 654.06, 981.12 and 221.10

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Solution

The fourth proportional to 654.06, 981.12 and 221.10 is: 331.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.06 : 981.12 = 221.10 : x
  2. Step 2: Convert to fraction form
    654.06/981.12 = 221.10/x
  3. Step 3: Cross multiply
    654.06x = 981.12 × 221.10
  4. Step 4: Simplify right side
    654.06x = 216,925.63
  5. Step 5: Solve for x
    x = 216,925.63/654.06
  6. Step 6: Final answer
    x = 331.66

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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.