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Finding the Fourth Proportional to 289.64, 434.47 and 97.40

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Solution

The fourth proportional to 289.64, 434.47 and 97.40 is: 146.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.64 : 434.47 = 97.40 : x
  2. Step 2: Convert to fraction form
    289.64/434.47 = 97.40/x
  3. Step 3: Cross multiply
    289.64x = 434.47 × 97.40
  4. Step 4: Simplify right side
    289.64x = 42,317.98
  5. Step 5: Solve for x
    x = 42,317.98/289.64
  6. Step 6: Final answer
    x = 146.10

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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.