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Finding the Fourth Proportional to 314.81, 472.26 and 152.36

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Solution

The fourth proportional to 314.81, 472.26 and 152.36 is: 228.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.81 : 472.26 = 152.36 : x
  2. Step 2: Convert to fraction form
    314.81/472.26 = 152.36/x
  3. Step 3: Cross multiply
    314.81x = 472.26 × 152.36
  4. Step 4: Simplify right side
    314.81x = 71,953.53
  5. Step 5: Solve for x
    x = 71,953.53/314.81
  6. Step 6: Final answer
    x = 228.56

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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.