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Finding the Fourth Proportional to 315.76, 435.74 and 177.76

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Solution

The fourth proportional to 315.76, 435.74 and 177.76 is: 245.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.76 : 435.74 = 177.76 : x
  2. Step 2: Convert to fraction form
    315.76/435.74 = 177.76/x
  3. Step 3: Cross multiply
    315.76x = 435.74 × 177.76
  4. Step 4: Simplify right side
    315.76x = 77,457.14
  5. Step 5: Solve for x
    x = 77,457.14/315.76
  6. Step 6: Final answer
    x = 245.30

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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.