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Finding the Fourth Proportional to 277.74, 417.02 and 156.24

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Solution

The fourth proportional to 277.74, 417.02 and 156.24 is: 234.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.74 : 417.02 = 156.24 : x
  2. Step 2: Convert to fraction form
    277.74/417.02 = 156.24/x
  3. Step 3: Cross multiply
    277.74x = 417.02 × 156.24
  4. Step 4: Simplify right side
    277.74x = 65,154.42
  5. Step 5: Solve for x
    x = 65,154.42/277.74
  6. Step 6: Final answer
    x = 234.59

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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.