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Finding the Fourth Proportional to 292.53, 440.81 and 242.30

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Solution

The fourth proportional to 292.53, 440.81 and 242.30 is: 365.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.53 : 440.81 = 242.30 : x
  2. Step 2: Convert to fraction form
    292.53/440.81 = 242.30/x
  3. Step 3: Cross multiply
    292.53x = 440.81 × 242.30
  4. Step 4: Simplify right side
    292.53x = 106,808.26
  5. Step 5: Solve for x
    x = 106,808.26/292.53
  6. Step 6: Final answer
    x = 365.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.