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Finding the Fourth Proportional to 342.94, 514.47 and 99.46

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Solution

The fourth proportional to 342.94, 514.47 and 99.46 is: 149.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.94 : 514.47 = 99.46 : x
  2. Step 2: Convert to fraction form
    342.94/514.47 = 99.46/x
  3. Step 3: Cross multiply
    342.94x = 514.47 × 99.46
  4. Step 4: Simplify right side
    342.94x = 51,169.19
  5. Step 5: Solve for x
    x = 51,169.19/342.94
  6. Step 6: Final answer
    x = 149.21

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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.