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Finding the Fourth Proportional to 314, 471 and 97.52

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Solution

The fourth proportional to 314, 471 and 97.52 is: 146.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    314 : 471 = 97.52 : x
  2. Step 2: Convert to fraction form
    314/471 = 97.52/x
  3. Step 3: Cross multiply
    314x = 471 × 97.52
  4. Step 4: Simplify right side
    314x = 45,931.92
  5. Step 5: Solve for x
    x = 45,931.92/314
  6. Step 6: Final answer
    x = 146.28

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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.