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Finding the Fourth Proportional to 277.50, 416.04 and 174.84

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Solution

The fourth proportional to 277.50, 416.04 and 174.84 is: 262.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.50 : 416.04 = 174.84 : x
  2. Step 2: Convert to fraction form
    277.50/416.04 = 174.84/x
  3. Step 3: Cross multiply
    277.50x = 416.04 × 174.84
  4. Step 4: Simplify right side
    277.50x = 72,740.43
  5. Step 5: Solve for x
    x = 72,740.43/277.50
  6. Step 6: Final answer
    x = 262.13

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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.