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Finding the Fourth Proportional to 351.16, 526.78 and 120.08

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Solution

The fourth proportional to 351.16, 526.78 and 120.08 is: 180.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.16 : 526.78 = 120.08 : x
  2. Step 2: Convert to fraction form
    351.16/526.78 = 120.08/x
  3. Step 3: Cross multiply
    351.16x = 526.78 × 120.08
  4. Step 4: Simplify right side
    351.16x = 63,255.74
  5. Step 5: Solve for x
    x = 63,255.74/351.16
  6. Step 6: Final answer
    x = 180.13

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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.