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Finding the Fourth Proportional to 353.68, 530.61 and 110.22

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Solution

The fourth proportional to 353.68, 530.61 and 110.22 is: 165.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.68 : 530.61 = 110.22 : x
  2. Step 2: Convert to fraction form
    353.68/530.61 = 110.22/x
  3. Step 3: Cross multiply
    353.68x = 530.61 × 110.22
  4. Step 4: Simplify right side
    353.68x = 58,483.83
  5. Step 5: Solve for x
    x = 58,483.83/353.68
  6. Step 6: Final answer
    x = 165.36

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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.