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Finding the Fourth Proportional to 356.28, 533.78 and 185.40

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Solution

The fourth proportional to 356.28, 533.78 and 185.40 is: 277.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.28 : 533.78 = 185.40 : x
  2. Step 2: Convert to fraction form
    356.28/533.78 = 185.40/x
  3. Step 3: Cross multiply
    356.28x = 533.78 × 185.40
  4. Step 4: Simplify right side
    356.28x = 98,962.81
  5. Step 5: Solve for x
    x = 98,962.81/356.28
  6. Step 6: Final answer
    x = 277.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.