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Finding the Fourth Proportional to 277.02, 416.75 and 236.93

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Solution

The fourth proportional to 277.02, 416.75 and 236.93 is: 356.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.02 : 416.75 = 236.93 : x
  2. Step 2: Convert to fraction form
    277.02/416.75 = 236.93/x
  3. Step 3: Cross multiply
    277.02x = 416.75 × 236.93
  4. Step 4: Simplify right side
    277.02x = 98,737.31
  5. Step 5: Solve for x
    x = 98,737.31/277.02
  6. Step 6: Final answer
    x = 356.43

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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.