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Finding the Fourth Proportional to 315.02, 435.14 and 242.24

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Solution

The fourth proportional to 315.02, 435.14 and 242.24 is: 334.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.02 : 435.14 = 242.24 : x
  2. Step 2: Convert to fraction form
    315.02/435.14 = 242.24/x
  3. Step 3: Cross multiply
    315.02x = 435.14 × 242.24
  4. Step 4: Simplify right side
    315.02x = 105,404.93
  5. Step 5: Solve for x
    x = 105,404.93/315.02
  6. Step 6: Final answer
    x = 334.60

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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.