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Finding the Fourth Proportional to 354.05, 530.93 and 122.89

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Solution

The fourth proportional to 354.05, 530.93 and 122.89 is: 184.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.05 : 530.93 = 122.89 : x
  2. Step 2: Convert to fraction form
    354.05/530.93 = 122.89/x
  3. Step 3: Cross multiply
    354.05x = 530.93 × 122.89
  4. Step 4: Simplify right side
    354.05x = 65,242.72
  5. Step 5: Solve for x
    x = 65,242.72/354.05
  6. Step 6: Final answer
    x = 184.28

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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.