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Finding the Fourth Proportional to 351.13, 526.66 and 120.02

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Solution

The fourth proportional to 351.13, 526.66 and 120.02 is: 180.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.13 : 526.66 = 120.02 : x
  2. Step 2: Convert to fraction form
    351.13/526.66 = 120.02/x
  3. Step 3: Cross multiply
    351.13x = 526.66 × 120.02
  4. Step 4: Simplify right side
    351.13x = 63,211.20
  5. Step 5: Solve for x
    x = 63,211.20/351.13
  6. Step 6: Final answer
    x = 180.02

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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.