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Finding the Fourth Proportional to 348.42, 522.77 and 186.02

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Solution

The fourth proportional to 348.42, 522.77 and 186.02 is: 279.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.42 : 522.77 = 186.02 : x
  2. Step 2: Convert to fraction form
    348.42/522.77 = 186.02/x
  3. Step 3: Cross multiply
    348.42x = 522.77 × 186.02
  4. Step 4: Simplify right side
    348.42x = 97,245.68
  5. Step 5: Solve for x
    x = 97,245.68/348.42
  6. Step 6: Final answer
    x = 279.10

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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.