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Finding the Fourth Proportional to 289.53, 434.54 and 152.67

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Solution

The fourth proportional to 289.53, 434.54 and 152.67 is: 229.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.53 : 434.54 = 152.67 : x
  2. Step 2: Convert to fraction form
    289.53/434.54 = 152.67/x
  3. Step 3: Cross multiply
    289.53x = 434.54 × 152.67
  4. Step 4: Simplify right side
    289.53x = 66,340.14
  5. Step 5: Solve for x
    x = 66,340.14/289.53
  6. Step 6: Final answer
    x = 229.13

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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.