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Finding the Fourth Proportional to 357.49, 536 and 138.11

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Solution

The fourth proportional to 357.49, 536 and 138.11 is: 207.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.49 : 536 = 138.11 : x
  2. Step 2: Convert to fraction form
    357.49/536 = 138.11/x
  3. Step 3: Cross multiply
    357.49x = 536 × 138.11
  4. Step 4: Simplify right side
    357.49x = 74,026.96
  5. Step 5: Solve for x
    x = 74,026.96/357.49
  6. Step 6: Final answer
    x = 207.08

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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.