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Finding the Fourth Proportional to 357.89, 536.93 and 138.58

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Solution

The fourth proportional to 357.89, 536.93 and 138.58 is: 207.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.89 : 536.93 = 138.58 : x
  2. Step 2: Convert to fraction form
    357.89/536.93 = 138.58/x
  3. Step 3: Cross multiply
    357.89x = 536.93 × 138.58
  4. Step 4: Simplify right side
    357.89x = 74,408.11
  5. Step 5: Solve for x
    x = 74,408.11/357.89
  6. Step 6: Final answer
    x = 207.91

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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.