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Finding the Fourth Proportional to 340.51, 510.71 and 140.17

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Solution

The fourth proportional to 340.51, 510.71 and 140.17 is: 210.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.51 : 510.71 = 140.17 : x
  2. Step 2: Convert to fraction form
    340.51/510.71 = 140.17/x
  3. Step 3: Cross multiply
    340.51x = 510.71 × 140.17
  4. Step 4: Simplify right side
    340.51x = 71,583.67
  5. Step 5: Solve for x
    x = 71,583.67/340.51
  6. Step 6: Final answer
    x = 210.23

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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.