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Finding the Fourth Proportional to 354.17, 530.94 and 137.60

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Solution

The fourth proportional to 354.17, 530.94 and 137.60 is: 206.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.17 : 530.94 = 137.60 : x
  2. Step 2: Convert to fraction form
    354.17/530.94 = 137.60/x
  3. Step 3: Cross multiply
    354.17x = 530.94 × 137.60
  4. Step 4: Simplify right side
    354.17x = 73,057.34
  5. Step 5: Solve for x
    x = 73,057.34/354.17
  6. Step 6: Final answer
    x = 206.28

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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.