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Finding the Fourth Proportional to 289.45, 434.54 and 152.59

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Solution

The fourth proportional to 289.45, 434.54 and 152.59 is: 229.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.45 : 434.54 = 152.59 : x
  2. Step 2: Convert to fraction form
    289.45/434.54 = 152.59/x
  3. Step 3: Cross multiply
    289.45x = 434.54 × 152.59
  4. Step 4: Simplify right side
    289.45x = 66,306.46
  5. Step 5: Solve for x
    x = 66,306.46/289.45
  6. Step 6: Final answer
    x = 229.08

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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.