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Finding the Fourth Proportional to 348.24, 522.33 and 88.23

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Solution

The fourth proportional to 348.24, 522.33 and 88.23 is: 132.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.24 : 522.33 = 88.23 : x
  2. Step 2: Convert to fraction form
    348.24/522.33 = 88.23/x
  3. Step 3: Cross multiply
    348.24x = 522.33 × 88.23
  4. Step 4: Simplify right side
    348.24x = 46,085.18
  5. Step 5: Solve for x
    x = 46,085.18/348.24
  6. Step 6: Final answer
    x = 132.34

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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.