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Finding the Fourth Proportional to 204.59, 307.06 and 89.10

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Solution

The fourth proportional to 204.59, 307.06 and 89.10 is: 133.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.59 : 307.06 = 89.10 : x
  2. Step 2: Convert to fraction form
    204.59/307.06 = 89.10/x
  3. Step 3: Cross multiply
    204.59x = 307.06 × 89.10
  4. Step 4: Simplify right side
    204.59x = 27,358.82
  5. Step 5: Solve for x
    x = 27,358.82/204.59
  6. Step 6: Final answer
    x = 133.72

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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.