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Finding the Fourth Proportional to 340.68, 510.98 and 97.23

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Solution

The fourth proportional to 340.68, 510.98 and 97.23 is: 145.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.68 : 510.98 = 97.23 : x
  2. Step 2: Convert to fraction form
    340.68/510.98 = 97.23/x
  3. Step 3: Cross multiply
    340.68x = 510.98 × 97.23
  4. Step 4: Simplify right side
    340.68x = 49,680.82
  5. Step 5: Solve for x
    x = 49,680.82/340.68
  6. Step 6: Final answer
    x = 145.83

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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.