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Finding the Fourth Proportional to 459.46, 688.99 and 151.14

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Solution

The fourth proportional to 459.46, 688.99 and 151.14 is: 226.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.46 : 688.99 = 151.14 : x
  2. Step 2: Convert to fraction form
    459.46/688.99 = 151.14/x
  3. Step 3: Cross multiply
    459.46x = 688.99 × 151.14
  4. Step 4: Simplify right side
    459.46x = 104,133.95
  5. Step 5: Solve for x
    x = 104,133.95/459.46
  6. Step 6: Final answer
    x = 226.64

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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.