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Finding the Fourth Proportional to 289.99, 434.74 and 135.84

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Solution

The fourth proportional to 289.99, 434.74 and 135.84 is: 203.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.99 : 434.74 = 135.84 : x
  2. Step 2: Convert to fraction form
    289.99/434.74 = 135.84/x
  3. Step 3: Cross multiply
    289.99x = 434.74 × 135.84
  4. Step 4: Simplify right side
    289.99x = 59,055.08
  5. Step 5: Solve for x
    x = 59,055.08/289.99
  6. Step 6: Final answer
    x = 203.65

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