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Finding the Fourth Proportional to 358.74, 538.14 and 176.16

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Solution

The fourth proportional to 358.74, 538.14 and 176.16 is: 264.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.74 : 538.14 = 176.16 : x
  2. Step 2: Convert to fraction form
    358.74/538.14 = 176.16/x
  3. Step 3: Cross multiply
    358.74x = 538.14 × 176.16
  4. Step 4: Simplify right side
    358.74x = 94,798.74
  5. Step 5: Solve for x
    x = 94,798.74/358.74
  6. Step 6: Final answer
    x = 264.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.