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Finding the Fourth Proportional to 510.46, 765.78 and 145.36

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Solution

The fourth proportional to 510.46, 765.78 and 145.36 is: 218.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.46 : 765.78 = 145.36 : x
  2. Step 2: Convert to fraction form
    510.46/765.78 = 145.36/x
  3. Step 3: Cross multiply
    510.46x = 765.78 × 145.36
  4. Step 4: Simplify right side
    510.46x = 111,313.78
  5. Step 5: Solve for x
    x = 111,313.78/510.46
  6. Step 6: Final answer
    x = 218.07

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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.