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Finding the Fourth Proportional to 285.63, 427.93 and 194.00

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Solution

The fourth proportional to 285.63, 427.93 and 194.00 is: 290.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.63 : 427.93 = 194.00 : x
  2. Step 2: Convert to fraction form
    285.63/427.93 = 194.00/x
  3. Step 3: Cross multiply
    285.63x = 427.93 × 194.00
  4. Step 4: Simplify right side
    285.63x = 83,016.28
  5. Step 5: Solve for x
    x = 83,016.28/285.63
  6. Step 6: Final answer
    x = 290.65

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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.