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Finding the Fourth Proportional to 510.65, 766 and 145.41

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Solution

The fourth proportional to 510.65, 766 and 145.41 is: 218.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.65 : 766 = 145.41 : x
  2. Step 2: Convert to fraction form
    510.65/766 = 145.41/x
  3. Step 3: Cross multiply
    510.65x = 766 × 145.41
  4. Step 4: Simplify right side
    510.65x = 111,384.06
  5. Step 5: Solve for x
    x = 111,384.06/510.65
  6. Step 6: Final answer
    x = 218.12

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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.