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Finding the Fourth Proportional to 294.49, 441.61 and 102.07

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Solution

The fourth proportional to 294.49, 441.61 and 102.07 is: 153.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.49 : 441.61 = 102.07 : x
  2. Step 2: Convert to fraction form
    294.49/441.61 = 102.07/x
  3. Step 3: Cross multiply
    294.49x = 441.61 × 102.07
  4. Step 4: Simplify right side
    294.49x = 45,075.13
  5. Step 5: Solve for x
    x = 45,075.13/294.49
  6. Step 6: Final answer
    x = 153.06

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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.