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Finding the Fourth Proportional to 289.51, 434.13 and 145.06

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Solution

The fourth proportional to 289.51, 434.13 and 145.06 is: 217.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.51 : 434.13 = 145.06 : x
  2. Step 2: Convert to fraction form
    289.51/434.13 = 145.06/x
  3. Step 3: Cross multiply
    289.51x = 434.13 × 145.06
  4. Step 4: Simplify right side
    289.51x = 62,974.90
  5. Step 5: Solve for x
    x = 62,974.90/289.51
  6. Step 6: Final answer
    x = 217.52

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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.