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Finding the Fourth Proportional to 314.96, 472.54 and 120.02

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Solution

The fourth proportional to 314.96, 472.54 and 120.02 is: 180.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.96 : 472.54 = 120.02 : x
  2. Step 2: Convert to fraction form
    314.96/472.54 = 120.02/x
  3. Step 3: Cross multiply
    314.96x = 472.54 × 120.02
  4. Step 4: Simplify right side
    314.96x = 56,714.25
  5. Step 5: Solve for x
    x = 56,714.25/314.96
  6. Step 6: Final answer
    x = 180.07

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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.