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Finding the Fourth Proportional to 290.98, 436.70 and 108.50

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Solution

The fourth proportional to 290.98, 436.70 and 108.50 is: 162.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.98 : 436.70 = 108.50 : x
  2. Step 2: Convert to fraction form
    290.98/436.70 = 108.50/x
  3. Step 3: Cross multiply
    290.98x = 436.70 × 108.50
  4. Step 4: Simplify right side
    290.98x = 47,381.95
  5. Step 5: Solve for x
    x = 47,381.95/290.98
  6. Step 6: Final answer
    x = 162.84

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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.