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Finding the Fourth Proportional to 277.02, 382.29 and 152.69

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Solution

The fourth proportional to 277.02, 382.29 and 152.69 is: 210.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.02 : 382.29 = 152.69 : x
  2. Step 2: Convert to fraction form
    277.02/382.29 = 152.69/x
  3. Step 3: Cross multiply
    277.02x = 382.29 × 152.69
  4. Step 4: Simplify right side
    277.02x = 58,369.95
  5. Step 5: Solve for x
    x = 58,369.95/277.02
  6. Step 6: Final answer
    x = 210.71

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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.