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Finding the Fourth Proportional to 340.75, 510.72 and 145.69

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Solution

The fourth proportional to 340.75, 510.72 and 145.69 is: 218.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.75 : 510.72 = 145.69 : x
  2. Step 2: Convert to fraction form
    340.75/510.72 = 145.69/x
  3. Step 3: Cross multiply
    340.75x = 510.72 × 145.69
  4. Step 4: Simplify right side
    340.75x = 74,406.80
  5. Step 5: Solve for x
    x = 74,406.80/340.75
  6. Step 6: Final answer
    x = 218.36

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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.