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Finding the Fourth Proportional to 549.69, 824.58 and 138.87

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Solution

The fourth proportional to 549.69, 824.58 and 138.87 is: 208.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.69 : 824.58 = 138.87 : x
  2. Step 2: Convert to fraction form
    549.69/824.58 = 138.87/x
  3. Step 3: Cross multiply
    549.69x = 824.58 × 138.87
  4. Step 4: Simplify right side
    549.69x = 114,509.42
  5. Step 5: Solve for x
    x = 114,509.42/549.69
  6. Step 6: Final answer
    x = 208.32

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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.