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Finding the Fourth Proportional to 459.40, 688.86 and 181.66

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Solution

The fourth proportional to 459.40, 688.86 and 181.66 is: 272.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.40 : 688.86 = 181.66 : x
  2. Step 2: Convert to fraction form
    459.40/688.86 = 181.66/x
  3. Step 3: Cross multiply
    459.40x = 688.86 × 181.66
  4. Step 4: Simplify right side
    459.40x = 125,138.31
  5. Step 5: Solve for x
    x = 125,138.31/459.40
  6. Step 6: Final answer
    x = 272.40

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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.