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Finding the Fourth Proportional to 340.93, 511.43 and 97.47

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Solution

The fourth proportional to 340.93, 511.43 and 97.47 is: 146.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.93 : 511.43 = 97.47 : x
  2. Step 2: Convert to fraction form
    340.93/511.43 = 97.47/x
  3. Step 3: Cross multiply
    340.93x = 511.43 × 97.47
  4. Step 4: Simplify right side
    340.93x = 49,849.08
  5. Step 5: Solve for x
    x = 49,849.08/340.93
  6. Step 6: Final answer
    x = 146.22

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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.