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Finding the Fourth Proportional to 510.98, 766.42 and 181.91

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Solution

The fourth proportional to 510.98, 766.42 and 181.91 is: 272.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.98 : 766.42 = 181.91 : x
  2. Step 2: Convert to fraction form
    510.98/766.42 = 181.91/x
  3. Step 3: Cross multiply
    510.98x = 766.42 × 181.91
  4. Step 4: Simplify right side
    510.98x = 139,417.82
  5. Step 5: Solve for x
    x = 139,417.82/510.98
  6. Step 6: Final answer
    x = 272.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.