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Finding the Fourth Proportional to 340.10, 510.42 and 194.00

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Solution

The fourth proportional to 340.10, 510.42 and 194.00 is: 291.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.10 : 510.42 = 194.00 : x
  2. Step 2: Convert to fraction form
    340.10/510.42 = 194.00/x
  3. Step 3: Cross multiply
    340.10x = 510.42 × 194.00
  4. Step 4: Simplify right side
    340.10x = 99,018.93
  5. Step 5: Solve for x
    x = 99,018.93/340.10
  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.