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Finding the Fourth Proportional to 242.32, 363.72 and 178

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Solution

The fourth proportional to 242.32, 363.72 and 178 is: 267.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.32 : 363.72 = 178 : x
  2. Step 2: Convert to fraction form
    242.32/363.72 = 178/x
  3. Step 3: Cross multiply
    242.32x = 363.72 × 178
  4. Step 4: Simplify right side
    242.32x = 64,742.16
  5. Step 5: Solve for x
    x = 64,742.16/242.32
  6. Step 6: Final answer
    x = 267.18

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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.