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Finding the Fourth Proportional to 364.54, 503.07 and 248.14

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Solution

The fourth proportional to 364.54, 503.07 and 248.14 is: 342.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.54 : 503.07 = 248.14 : x
  2. Step 2: Convert to fraction form
    364.54/503.07 = 248.14/x
  3. Step 3: Cross multiply
    364.54x = 503.07 × 248.14
  4. Step 4: Simplify right side
    364.54x = 124,831.79
  5. Step 5: Solve for x
    x = 124,831.79/364.54
  6. Step 6: Final answer
    x = 342.44

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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.