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Finding the Fourth Proportional to 357.59, 536.45 and 138.20

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Solution

The fourth proportional to 357.59, 536.45 and 138.20 is: 207.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.59 : 536.45 = 138.20 : x
  2. Step 2: Convert to fraction form
    357.59/536.45 = 138.20/x
  3. Step 3: Cross multiply
    357.59x = 536.45 × 138.20
  4. Step 4: Simplify right side
    357.59x = 74,134.02
  5. Step 5: Solve for x
    x = 74,134.02/357.59
  6. Step 6: Final answer
    x = 207.32

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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.