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Finding the Fourth Proportional to 295.63, 407.91 and 179.13

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Solution

The fourth proportional to 295.63, 407.91 and 179.13 is: 247.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.63 : 407.91 = 179.13 : x
  2. Step 2: Convert to fraction form
    295.63/407.91 = 179.13/x
  3. Step 3: Cross multiply
    295.63x = 407.91 × 179.13
  4. Step 4: Simplify right side
    295.63x = 73,066.88
  5. Step 5: Solve for x
    x = 73,066.88/295.63
  6. Step 6: Final answer
    x = 247.16

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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.