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Finding the Fourth Proportional to 295.39, 407.64 and 162.62

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Solution

The fourth proportional to 295.39, 407.64 and 162.62 is: 224.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.39 : 407.64 = 162.62 : x
  2. Step 2: Convert to fraction form
    295.39/407.64 = 162.62/x
  3. Step 3: Cross multiply
    295.39x = 407.64 × 162.62
  4. Step 4: Simplify right side
    295.39x = 66,290.42
  5. Step 5: Solve for x
    x = 66,290.42/295.39
  6. Step 6: Final answer
    x = 224.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.