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Finding the Fourth Proportional to 348.02, 521.87 and 201.74

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Solution

The fourth proportional to 348.02, 521.87 and 201.74 is: 302.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.02 : 521.87 = 201.74 : x
  2. Step 2: Convert to fraction form
    348.02/521.87 = 201.74/x
  3. Step 3: Cross multiply
    348.02x = 521.87 × 201.74
  4. Step 4: Simplify right side
    348.02x = 105,282.05
  5. Step 5: Solve for x
    x = 105,282.05/348.02
  6. Step 6: Final answer
    x = 302.52

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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.