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Finding the Fourth Proportional to 248.89, 373.47 and 214.87

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Solution

The fourth proportional to 248.89, 373.47 and 214.87 is: 322.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.89 : 373.47 = 214.87 : x
  2. Step 2: Convert to fraction form
    248.89/373.47 = 214.87/x
  3. Step 3: Cross multiply
    248.89x = 373.47 × 214.87
  4. Step 4: Simplify right side
    248.89x = 80,247.50
  5. Step 5: Solve for x
    x = 80,247.50/248.89
  6. Step 6: Final answer
    x = 322.42

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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.