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Finding the Fourth Proportional to 459.99, 690.14 and 151.86

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Solution

The fourth proportional to 459.99, 690.14 and 151.86 is: 227.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.99 : 690.14 = 151.86 : x
  2. Step 2: Convert to fraction form
    459.99/690.14 = 151.86/x
  3. Step 3: Cross multiply
    459.99x = 690.14 × 151.86
  4. Step 4: Simplify right side
    459.99x = 104,803.90
  5. Step 5: Solve for x
    x = 104,803.90/459.99
  6. Step 6: Final answer
    x = 227.84

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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.