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Finding the Fourth Proportional to 277.89, 383.58 and 195

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Solution

The fourth proportional to 277.89, 383.58 and 195 is: 269.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.89 : 383.58 = 195 : x
  2. Step 2: Convert to fraction form
    277.89/383.58 = 195/x
  3. Step 3: Cross multiply
    277.89x = 383.58 × 195
  4. Step 4: Simplify right side
    277.89x = 74,798.10
  5. Step 5: Solve for x
    x = 74,798.10/277.89
  6. Step 6: Final answer
    x = 269.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.