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Finding the Fourth Proportional to 366.10, 505.25 and 208.74

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Solution

The fourth proportional to 366.10, 505.25 and 208.74 is: 288.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.10 : 505.25 = 208.74 : x
  2. Step 2: Convert to fraction form
    366.10/505.25 = 208.74/x
  3. Step 3: Cross multiply
    366.10x = 505.25 × 208.74
  4. Step 4: Simplify right side
    366.10x = 105,465.89
  5. Step 5: Solve for x
    x = 105,465.89/366.10
  6. Step 6: Final answer
    x = 288.08

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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.