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Finding the Fourth Proportional to 277.64, 383.10 and 159.60

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Solution

The fourth proportional to 277.64, 383.10 and 159.60 is: 220.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.64 : 383.10 = 159.60 : x
  2. Step 2: Convert to fraction form
    277.64/383.10 = 159.60/x
  3. Step 3: Cross multiply
    277.64x = 383.10 × 159.60
  4. Step 4: Simplify right side
    277.64x = 61,142.76
  5. Step 5: Solve for x
    x = 61,142.76/277.64
  6. Step 6: Final answer
    x = 220.23

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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.