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Finding the Fourth Proportional to 357.76, 536.63 and 110.96

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Solution

The fourth proportional to 357.76, 536.63 and 110.96 is: 166.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.76 : 536.63 = 110.96 : x
  2. Step 2: Convert to fraction form
    357.76/536.63 = 110.96/x
  3. Step 3: Cross multiply
    357.76x = 536.63 × 110.96
  4. Step 4: Simplify right side
    357.76x = 59,541.64
  5. Step 5: Solve for x
    x = 59,541.64/357.76
  6. Step 6: Final answer
    x = 166.43

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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.