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Finding the Fourth Proportional to 277.11, 416.14 and 265.50

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Solution

The fourth proportional to 277.11, 416.14 and 265.50 is: 398.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.11 : 416.14 = 265.50 : x
  2. Step 2: Convert to fraction form
    277.11/416.14 = 265.50/x
  3. Step 3: Cross multiply
    277.11x = 416.14 × 265.50
  4. Step 4: Simplify right side
    277.11x = 110,484.51
  5. Step 5: Solve for x
    x = 110,484.51/277.11
  6. Step 6: Final answer
    x = 398.70

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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.