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Finding the Fourth Proportional to 242.96, 364.16 and 98.50

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Solution

The fourth proportional to 242.96, 364.16 and 98.50 is: 147.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.96 : 364.16 = 98.50 : x
  2. Step 2: Convert to fraction form
    242.96/364.16 = 98.50/x
  3. Step 3: Cross multiply
    242.96x = 364.16 × 98.50
  4. Step 4: Simplify right side
    242.96x = 35,869.76
  5. Step 5: Solve for x
    x = 35,869.76/242.96
  6. Step 6: Final answer
    x = 147.64

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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.