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Finding the Fourth Proportional to 294.79, 441.54 and 140.67

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Solution

The fourth proportional to 294.79, 441.54 and 140.67 is: 210.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.79 : 441.54 = 140.67 : x
  2. Step 2: Convert to fraction form
    294.79/441.54 = 140.67/x
  3. Step 3: Cross multiply
    294.79x = 441.54 × 140.67
  4. Step 4: Simplify right side
    294.79x = 62,113.10
  5. Step 5: Solve for x
    x = 62,113.10/294.79
  6. Step 6: Final answer
    x = 210.70

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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.