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Finding the Fourth Proportional to 508.74, 763.14 and 184.10

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Solution

The fourth proportional to 508.74, 763.14 and 184.10 is: 276.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.74 : 763.14 = 184.10 : x
  2. Step 2: Convert to fraction form
    508.74/763.14 = 184.10/x
  3. Step 3: Cross multiply
    508.74x = 763.14 × 184.10
  4. Step 4: Simplify right side
    508.74x = 140,494.07
  5. Step 5: Solve for x
    x = 140,494.07/508.74
  6. Step 6: Final answer
    x = 276.16

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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.