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Finding the Fourth Proportional to 295.22, 407.35 and 178.74

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Solution

The fourth proportional to 295.22, 407.35 and 178.74 is: 246.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.22 : 407.35 = 178.74 : x
  2. Step 2: Convert to fraction form
    295.22/407.35 = 178.74/x
  3. Step 3: Cross multiply
    295.22x = 407.35 × 178.74
  4. Step 4: Simplify right side
    295.22x = 72,809.74
  5. Step 5: Solve for x
    x = 72,809.74/295.22
  6. Step 6: Final answer
    x = 246.63

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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.