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Finding the Fourth Proportional to 518.04, 776.92 and 152.88

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Solution

The fourth proportional to 518.04, 776.92 and 152.88 is: 229.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.04 : 776.92 = 152.88 : x
  2. Step 2: Convert to fraction form
    518.04/776.92 = 152.88/x
  3. Step 3: Cross multiply
    518.04x = 776.92 × 152.88
  4. Step 4: Simplify right side
    518.04x = 118,775.53
  5. Step 5: Solve for x
    x = 118,775.53/518.04
  6. Step 6: Final answer
    x = 229.28

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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.