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Finding the Fourth Proportional to 607.10, 910.95 and 242.14

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Solution

The fourth proportional to 607.10, 910.95 and 242.14 is: 363.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.10 : 910.95 = 242.14 : x
  2. Step 2: Convert to fraction form
    607.10/910.95 = 242.14/x
  3. Step 3: Cross multiply
    607.10x = 910.95 × 242.14
  4. Step 4: Simplify right side
    607.10x = 220,575.96
  5. Step 5: Solve for x
    x = 220,575.96/607.10
  6. Step 6: Final answer
    x = 363.33

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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.