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Finding the Fourth Proportional to 295.50, 407.76 and 185.06

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Solution

The fourth proportional to 295.50, 407.76 and 185.06 is: 255.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.50 : 407.76 = 185.06 : x
  2. Step 2: Convert to fraction form
    295.50/407.76 = 185.06/x
  3. Step 3: Cross multiply
    295.50x = 407.76 × 185.06
  4. Step 4: Simplify right side
    295.50x = 75,460.07
  5. Step 5: Solve for x
    x = 75,460.07/295.50
  6. Step 6: Final answer
    x = 255.36

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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.