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Finding the Fourth Proportional to 293.09, 439.68 and 146.93

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Solution

The fourth proportional to 293.09, 439.68 and 146.93 is: 220.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.09 : 439.68 = 146.93 : x
  2. Step 2: Convert to fraction form
    293.09/439.68 = 146.93/x
  3. Step 3: Cross multiply
    293.09x = 439.68 × 146.93
  4. Step 4: Simplify right side
    293.09x = 64,602.18
  5. Step 5: Solve for x
    x = 64,602.18/293.09
  6. Step 6: Final answer
    x = 220.42

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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.