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Finding the Fourth Proportional to 277.64, 383.10 and 190.52

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Solution

The fourth proportional to 277.64, 383.10 and 190.52 is: 262.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.64 : 383.10 = 190.52 : x
  2. Step 2: Convert to fraction form
    277.64/383.10 = 190.52/x
  3. Step 3: Cross multiply
    277.64x = 383.10 × 190.52
  4. Step 4: Simplify right side
    277.64x = 72,988.21
  5. Step 5: Solve for x
    x = 72,988.21/277.64
  6. Step 6: Final answer
    x = 262.89

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