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Finding the Fourth Proportional to 314.74, 472.32 and 177.70

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Solution

The fourth proportional to 314.74, 472.32 and 177.70 is: 266.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.74 : 472.32 = 177.70 : x
  2. Step 2: Convert to fraction form
    314.74/472.32 = 177.70/x
  3. Step 3: Cross multiply
    314.74x = 472.32 × 177.70
  4. Step 4: Simplify right side
    314.74x = 83,931.26
  5. Step 5: Solve for x
    x = 83,931.26/314.74
  6. Step 6: Final answer
    x = 266.67

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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.