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Finding the Fourth Proportional to 518.07, 777.09 and 176.07

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Solution

The fourth proportional to 518.07, 777.09 and 176.07 is: 264.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.07 : 777.09 = 176.07 : x
  2. Step 2: Convert to fraction form
    518.07/777.09 = 176.07/x
  3. Step 3: Cross multiply
    518.07x = 777.09 × 176.07
  4. Step 4: Simplify right side
    518.07x = 136,822.24
  5. Step 5: Solve for x
    x = 136,822.24/518.07
  6. Step 6: Final answer
    x = 264.10

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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.