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Finding the Fourth Proportional to 353.49, 530.13 and 110.01

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Solution

The fourth proportional to 353.49, 530.13 and 110.01 is: 164.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.49 : 530.13 = 110.01 : x
  2. Step 2: Convert to fraction form
    353.49/530.13 = 110.01/x
  3. Step 3: Cross multiply
    353.49x = 530.13 × 110.01
  4. Step 4: Simplify right side
    353.49x = 58,319.60
  5. Step 5: Solve for x
    x = 58,319.60/353.49
  6. Step 6: Final answer
    x = 164.98

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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.