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Finding the Fourth Proportional to 277.16, 415.98 and 261.32

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Solution

The fourth proportional to 277.16, 415.98 and 261.32 is: 392.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.16 : 415.98 = 261.32 : x
  2. Step 2: Convert to fraction form
    277.16/415.98 = 261.32/x
  3. Step 3: Cross multiply
    277.16x = 415.98 × 261.32
  4. Step 4: Simplify right side
    277.16x = 108,703.89
  5. Step 5: Solve for x
    x = 108,703.89/277.16
  6. Step 6: Final answer
    x = 392.21

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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.