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Finding the Fourth Proportional to 277.53, 416.16 and 174.66

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Solution

The fourth proportional to 277.53, 416.16 and 174.66 is: 261.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.53 : 416.16 = 174.66 : x
  2. Step 2: Convert to fraction form
    277.53/416.16 = 174.66/x
  3. Step 3: Cross multiply
    277.53x = 416.16 × 174.66
  4. Step 4: Simplify right side
    277.53x = 72,686.51
  5. Step 5: Solve for x
    x = 72,686.51/277.53
  6. Step 6: Final answer
    x = 261.91

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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.