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Finding the Fourth Proportional to 357.22, 536.03 and 164.84

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Solution

The fourth proportional to 357.22, 536.03 and 164.84 is: 247.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.22 : 536.03 = 164.84 : x
  2. Step 2: Convert to fraction form
    357.22/536.03 = 164.84/x
  3. Step 3: Cross multiply
    357.22x = 536.03 × 164.84
  4. Step 4: Simplify right side
    357.22x = 88,359.19
  5. Step 5: Solve for x
    x = 88,359.19/357.22
  6. Step 6: Final answer
    x = 247.35

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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.