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Finding the Fourth Proportional to 314.86, 472.29 and 152.44

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Solution

The fourth proportional to 314.86, 472.29 and 152.44 is: 228.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.86 : 472.29 = 152.44 : x
  2. Step 2: Convert to fraction form
    314.86/472.29 = 152.44/x
  3. Step 3: Cross multiply
    314.86x = 472.29 × 152.44
  4. Step 4: Simplify right side
    314.86x = 71,995.89
  5. Step 5: Solve for x
    x = 71,995.89/314.86
  6. Step 6: Final answer
    x = 228.66

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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.