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Finding the Fourth Proportional to 294.98, 442.54 and 99.99

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Solution

The fourth proportional to 294.98, 442.54 and 99.99 is: 150.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.98 : 442.54 = 99.99 : x
  2. Step 2: Convert to fraction form
    294.98/442.54 = 99.99/x
  3. Step 3: Cross multiply
    294.98x = 442.54 × 99.99
  4. Step 4: Simplify right side
    294.98x = 44,249.57
  5. Step 5: Solve for x
    x = 44,249.57/294.98
  6. Step 6: Final answer
    x = 150.01

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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.