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Finding the Fourth Proportional to 340.61, 510.71 and 164.83

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Solution

The fourth proportional to 340.61, 510.71 and 164.83 is: 247.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.61 : 510.71 = 164.83 : x
  2. Step 2: Convert to fraction form
    340.61/510.71 = 164.83/x
  3. Step 3: Cross multiply
    340.61x = 510.71 × 164.83
  4. Step 4: Simplify right side
    340.61x = 84,176.95
  5. Step 5: Solve for x
    x = 84,176.95/340.61
  6. Step 6: Final answer
    x = 247.14

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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.