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Finding the Fourth Proportional to 194, 290.48 and 145.76

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Solution

The fourth proportional to 194, 290.48 and 145.76 is: 218.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    194 : 290.48 = 145.76 : x
  2. Step 2: Convert to fraction form
    194/290.48 = 145.76/x
  3. Step 3: Cross multiply
    194x = 290.48 × 145.76
  4. Step 4: Simplify right side
    194x = 42,340.36
  5. Step 5: Solve for x
    x = 42,340.36/194
  6. Step 6: Final answer
    x = 218.25

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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.