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Finding the Fourth Proportional to 294.96, 407.16 and 242.04

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Solution

The fourth proportional to 294.96, 407.16 and 242.04 is: 334.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.96 : 407.16 = 242.04 : x
  2. Step 2: Convert to fraction form
    294.96/407.16 = 242.04/x
  3. Step 3: Cross multiply
    294.96x = 407.16 × 242.04
  4. Step 4: Simplify right side
    294.96x = 98,549.01
  5. Step 5: Solve for x
    x = 98,549.01/294.96
  6. Step 6: Final answer
    x = 334.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.