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Finding the Fourth Proportional to 315.37, 435.42 and 242.07

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Solution

The fourth proportional to 315.37, 435.42 and 242.07 is: 334.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.37 : 435.42 = 242.07 : x
  2. Step 2: Convert to fraction form
    315.37/435.42 = 242.07/x
  3. Step 3: Cross multiply
    315.37x = 435.42 × 242.07
  4. Step 4: Simplify right side
    315.37x = 105,402.12
  5. Step 5: Solve for x
    x = 105,402.12/315.37
  6. Step 6: Final answer
    x = 334.22

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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.