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Finding the Fourth Proportional to 340.35, 510.21 and 145.23

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Solution

The fourth proportional to 340.35, 510.21 and 145.23 is: 217.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.35 : 510.21 = 145.23 : x
  2. Step 2: Convert to fraction form
    340.35/510.21 = 145.23/x
  3. Step 3: Cross multiply
    340.35x = 510.21 × 145.23
  4. Step 4: Simplify right side
    340.35x = 74,097.80
  5. Step 5: Solve for x
    x = 74,097.80/340.35
  6. Step 6: Final answer
    x = 217.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.