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Finding the Fourth Proportional to 314.84, 472.26 and 98.42

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Solution

The fourth proportional to 314.84, 472.26 and 98.42 is: 147.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.84 : 472.26 = 98.42 : x
  2. Step 2: Convert to fraction form
    314.84/472.26 = 98.42/x
  3. Step 3: Cross multiply
    314.84x = 472.26 × 98.42
  4. Step 4: Simplify right side
    314.84x = 46,479.83
  5. Step 5: Solve for x
    x = 46,479.83/314.84
  6. Step 6: Final answer
    x = 147.63

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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.