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Finding the Fourth Proportional to 354.60, 531.95 and 111.05

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Solution

The fourth proportional to 354.60, 531.95 and 111.05 is: 166.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.60 : 531.95 = 111.05 : x
  2. Step 2: Convert to fraction form
    354.60/531.95 = 111.05/x
  3. Step 3: Cross multiply
    354.60x = 531.95 × 111.05
  4. Step 4: Simplify right side
    354.60x = 59,071.42
  5. Step 5: Solve for x
    x = 59,071.42/354.60
  6. Step 6: Final answer
    x = 166.58

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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.