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Finding the Fourth Proportional to 343.57, 515.16 and 148.51

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Solution

The fourth proportional to 343.57, 515.16 and 148.51 is: 222.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.57 : 515.16 = 148.51 : x
  2. Step 2: Convert to fraction form
    343.57/515.16 = 148.51/x
  3. Step 3: Cross multiply
    343.57x = 515.16 × 148.51
  4. Step 4: Simplify right side
    343.57x = 76,506.41
  5. Step 5: Solve for x
    x = 76,506.41/343.57
  6. Step 6: Final answer
    x = 222.68

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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.