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Finding the Fourth Proportional to 277.81, 416.42 and 102

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Solution

The fourth proportional to 277.81, 416.42 and 102 is: 152.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.81 : 416.42 = 102 : x
  2. Step 2: Convert to fraction form
    277.81/416.42 = 102/x
  3. Step 3: Cross multiply
    277.81x = 416.42 × 102
  4. Step 4: Simplify right side
    277.81x = 42,474.84
  5. Step 5: Solve for x
    x = 42,474.84/277.81
  6. Step 6: Final answer
    x = 152.89

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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.