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Finding the Fourth Proportional to 510.57, 765.93 and 177.00

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Solution

The fourth proportional to 510.57, 765.93 and 177.00 is: 265.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.57 : 765.93 = 177.00 : x
  2. Step 2: Convert to fraction form
    510.57/765.93 = 177.00/x
  3. Step 3: Cross multiply
    510.57x = 765.93 × 177.00
  4. Step 4: Simplify right side
    510.57x = 135,565.78
  5. Step 5: Solve for x
    x = 135,565.78/510.57
  6. Step 6: Final answer
    x = 265.52

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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.