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Finding the Fourth Proportional to 242.93, 364.16 and 106.00

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Solution

The fourth proportional to 242.93, 364.16 and 106.00 is: 158.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.93 : 364.16 = 106.00 : x
  2. Step 2: Convert to fraction form
    242.93/364.16 = 106.00/x
  3. Step 3: Cross multiply
    242.93x = 364.16 × 106.00
  4. Step 4: Simplify right side
    242.93x = 38,600.31
  5. Step 5: Solve for x
    x = 38,600.31/242.93
  6. Step 6: Final answer
    x = 158.89

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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.