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Finding the Fourth Proportional to 364.17, 546.58 and 250.25

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Solution

The fourth proportional to 364.17, 546.58 and 250.25 is: 375.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.17 : 546.58 = 250.25 : x
  2. Step 2: Convert to fraction form
    364.17/546.58 = 250.25/x
  3. Step 3: Cross multiply
    364.17x = 546.58 × 250.25
  4. Step 4: Simplify right side
    364.17x = 136,781.65
  5. Step 5: Solve for x
    x = 136,781.65/364.17
  6. Step 6: Final answer
    x = 375.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.