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Finding the Fourth Proportional to 348.40, 522.53 and 201.84

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Solution

The fourth proportional to 348.40, 522.53 and 201.84 is: 302.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.40 : 522.53 = 201.84 : x
  2. Step 2: Convert to fraction form
    348.40/522.53 = 201.84/x
  3. Step 3: Cross multiply
    348.40x = 522.53 × 201.84
  4. Step 4: Simplify right side
    348.40x = 105,466.45
  5. Step 5: Solve for x
    x = 105,466.45/348.40
  6. Step 6: Final answer
    x = 302.72

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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.