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Finding the Fourth Proportional to 277.76, 416.90 and 175.23

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Solution

The fourth proportional to 277.76, 416.90 and 175.23 is: 263.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.76 : 416.90 = 175.23 : x
  2. Step 2: Convert to fraction form
    277.76/416.90 = 175.23/x
  3. Step 3: Cross multiply
    277.76x = 416.90 × 175.23
  4. Step 4: Simplify right side
    277.76x = 73,053.39
  5. Step 5: Solve for x
    x = 73,053.39/277.76
  6. Step 6: Final answer
    x = 263.01

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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.