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Finding the Fourth Proportional to 290.68, 436.34 and 153.68

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Solution

The fourth proportional to 290.68, 436.34 and 153.68 is: 230.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.68 : 436.34 = 153.68 : x
  2. Step 2: Convert to fraction form
    290.68/436.34 = 153.68/x
  3. Step 3: Cross multiply
    290.68x = 436.34 × 153.68
  4. Step 4: Simplify right side
    290.68x = 67,057.05
  5. Step 5: Solve for x
    x = 67,057.05/290.68
  6. Step 6: Final answer
    x = 230.69

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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.