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Finding the Fourth Proportional to 340.43, 510.64 and 194.10

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Solution

The fourth proportional to 340.43, 510.64 and 194.10 is: 291.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.43 : 510.64 = 194.10 : x
  2. Step 2: Convert to fraction form
    340.43/510.64 = 194.10/x
  3. Step 3: Cross multiply
    340.43x = 510.64 × 194.10
  4. Step 4: Simplify right side
    340.43x = 99,115.22
  5. Step 5: Solve for x
    x = 99,115.22/340.43
  6. Step 6: Final answer
    x = 291.15

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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.