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Finding the Fourth Proportional to 292.84, 438.14 and 249.40

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Solution

The fourth proportional to 292.84, 438.14 and 249.40 is: 373.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.84 : 438.14 = 249.40 : x
  2. Step 2: Convert to fraction form
    292.84/438.14 = 249.40/x
  3. Step 3: Cross multiply
    292.84x = 438.14 × 249.40
  4. Step 4: Simplify right side
    292.84x = 109,272.12
  5. Step 5: Solve for x
    x = 109,272.12/292.84
  6. Step 6: Final answer
    x = 373.15

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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.