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Finding the Fourth Proportional to 351.23, 526.88 and 120.14

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Solution

The fourth proportional to 351.23, 526.88 and 120.14 is: 180.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.23 : 526.88 = 120.14 : x
  2. Step 2: Convert to fraction form
    351.23/526.88 = 120.14/x
  3. Step 3: Cross multiply
    351.23x = 526.88 × 120.14
  4. Step 4: Simplify right side
    351.23x = 63,298.76
  5. Step 5: Solve for x
    x = 63,298.76/351.23
  6. Step 6: Final answer
    x = 180.22

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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.