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Finding the Fourth Proportional to 354.55, 531.75 and 111.07

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Solution

The fourth proportional to 354.55, 531.75 and 111.07 is: 166.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.55 : 531.75 = 111.07 : x
  2. Step 2: Convert to fraction form
    354.55/531.75 = 111.07/x
  3. Step 3: Cross multiply
    354.55x = 531.75 × 111.07
  4. Step 4: Simplify right side
    354.55x = 59,061.47
  5. Step 5: Solve for x
    x = 59,061.47/354.55
  6. Step 6: Final answer
    x = 166.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.