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Finding the Fourth Proportional to 316.17, 435.85 and 242.35

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Solution

The fourth proportional to 316.17, 435.85 and 242.35 is: 334.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.17 : 435.85 = 242.35 : x
  2. Step 2: Convert to fraction form
    316.17/435.85 = 242.35/x
  3. Step 3: Cross multiply
    316.17x = 435.85 × 242.35
  4. Step 4: Simplify right side
    316.17x = 105,626.55
  5. Step 5: Solve for x
    x = 105,626.55/316.17
  6. Step 6: Final answer
    x = 334.08

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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.