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Finding the Fourth Proportional to 340.60, 510.10 and 231.80

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Solution

The fourth proportional to 340.60, 510.10 and 231.80 is: 347.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.60 : 510.10 = 231.80 : x
  2. Step 2: Convert to fraction form
    340.60/510.10 = 231.80/x
  3. Step 3: Cross multiply
    340.60x = 510.10 × 231.80
  4. Step 4: Simplify right side
    340.60x = 118,241.18
  5. Step 5: Solve for x
    x = 118,241.18/340.60
  6. Step 6: Final answer
    x = 347.16

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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.