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Finding the Fourth Proportional to 277.24, 416.02 and 140.40

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Solution

The fourth proportional to 277.24, 416.02 and 140.40 is: 210.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.24 : 416.02 = 140.40 : x
  2. Step 2: Convert to fraction form
    277.24/416.02 = 140.40/x
  3. Step 3: Cross multiply
    277.24x = 416.02 × 140.40
  4. Step 4: Simplify right side
    277.24x = 58,409.21
  5. Step 5: Solve for x
    x = 58,409.21/277.24
  6. Step 6: Final answer
    x = 210.68

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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.