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Finding the Fourth Proportional to 295.68, 407.94 and 185.16

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Solution

The fourth proportional to 295.68, 407.94 and 185.16 is: 255.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.68 : 407.94 = 185.16 : x
  2. Step 2: Convert to fraction form
    295.68/407.94 = 185.16/x
  3. Step 3: Cross multiply
    295.68x = 407.94 × 185.16
  4. Step 4: Simplify right side
    295.68x = 75,534.17
  5. Step 5: Solve for x
    x = 75,534.17/295.68
  6. Step 6: Final answer
    x = 255.46

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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.