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Finding the Fourth Proportional to 277.85, 416.43 and 156.08

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Solution

The fourth proportional to 277.85, 416.43 and 156.08 is: 233.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.85 : 416.43 = 156.08 : x
  2. Step 2: Convert to fraction form
    277.85/416.43 = 156.08/x
  3. Step 3: Cross multiply
    277.85x = 416.43 × 156.08
  4. Step 4: Simplify right side
    277.85x = 64,994.31
  5. Step 5: Solve for x
    x = 64,994.31/277.85
  6. Step 6: Final answer
    x = 233.92

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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.