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Finding the Fourth Proportional to 340.06, 510.10 and 134.58

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Solution

The fourth proportional to 340.06, 510.10 and 134.58 is: 201.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.06 : 510.10 = 134.58 : x
  2. Step 2: Convert to fraction form
    340.06/510.10 = 134.58/x
  3. Step 3: Cross multiply
    340.06x = 510.10 × 134.58
  4. Step 4: Simplify right side
    340.06x = 68,649.26
  5. Step 5: Solve for x
    x = 68,649.26/340.06
  6. Step 6: Final answer
    x = 201.87

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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.