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Finding the Fourth Proportional to 242.16, 363.51 and 155.70

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Solution

The fourth proportional to 242.16, 363.51 and 155.70 is: 233.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.16 : 363.51 = 155.70 : x
  2. Step 2: Convert to fraction form
    242.16/363.51 = 155.70/x
  3. Step 3: Cross multiply
    242.16x = 363.51 × 155.70
  4. Step 4: Simplify right side
    242.16x = 56,598.51
  5. Step 5: Solve for x
    x = 56,598.51/242.16
  6. Step 6: Final answer
    x = 233.72

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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.