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Finding the Fourth Proportional to 340.41, 510.01 and 194.01

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Solution

The fourth proportional to 340.41, 510.01 and 194.01 is: 290.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.41 : 510.01 = 194.01 : x
  2. Step 2: Convert to fraction form
    340.41/510.01 = 194.01/x
  3. Step 3: Cross multiply
    340.41x = 510.01 × 194.01
  4. Step 4: Simplify right side
    340.41x = 98,944.64
  5. Step 5: Solve for x
    x = 98,944.64/340.41
  6. Step 6: Final answer
    x = 290.66

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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.