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Finding the Fourth Proportional to 358.23, 536.65 and 175.52

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Solution

The fourth proportional to 358.23, 536.65 and 175.52 is: 262.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.23 : 536.65 = 175.52 : x
  2. Step 2: Convert to fraction form
    358.23/536.65 = 175.52/x
  3. Step 3: Cross multiply
    358.23x = 536.65 × 175.52
  4. Step 4: Simplify right side
    358.23x = 94,192.81
  5. Step 5: Solve for x
    x = 94,192.81/358.23
  6. Step 6: Final answer
    x = 262.94

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