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Finding the Fourth Proportional to 277.60, 383.08 and 161.16

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Solution

The fourth proportional to 277.60, 383.08 and 161.16 is: 222.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.60 : 383.08 = 161.16 : x
  2. Step 2: Convert to fraction form
    277.60/383.08 = 161.16/x
  3. Step 3: Cross multiply
    277.60x = 383.08 × 161.16
  4. Step 4: Simplify right side
    277.60x = 61,737.17
  5. Step 5: Solve for x
    x = 61,737.17/277.60
  6. Step 6: Final answer
    x = 222.40

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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.