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Finding the Fourth Proportional to 294, 441.14 and 101.72

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Solution

The fourth proportional to 294, 441.14 and 101.72 is: 152.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    294 : 441.14 = 101.72 : x
  2. Step 2: Convert to fraction form
    294/441.14 = 101.72/x
  3. Step 3: Cross multiply
    294x = 441.14 × 101.72
  4. Step 4: Simplify right side
    294x = 44,872.76
  5. Step 5: Solve for x
    x = 44,872.76/294
  6. Step 6: Final answer
    x = 152.63

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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.