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Finding the Fourth Proportional to 304.86, 457.41 and 150.93

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Solution

The fourth proportional to 304.86, 457.41 and 150.93 is: 226.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.86 : 457.41 = 150.93 : x
  2. Step 2: Convert to fraction form
    304.86/457.41 = 150.93/x
  3. Step 3: Cross multiply
    304.86x = 457.41 × 150.93
  4. Step 4: Simplify right side
    304.86x = 69,036.89
  5. Step 5: Solve for x
    x = 69,036.89/304.86
  6. Step 6: Final answer
    x = 226.45

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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.