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Finding the Fourth Proportional to 358.61, 538.10 and 176.00

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Solution

The fourth proportional to 358.61, 538.10 and 176.00 is: 264.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.61 : 538.10 = 176.00 : x
  2. Step 2: Convert to fraction form
    358.61/538.10 = 176.00/x
  3. Step 3: Cross multiply
    358.61x = 538.10 × 176.00
  4. Step 4: Simplify right side
    358.61x = 94,702.03
  5. Step 5: Solve for x
    x = 94,702.03/358.61
  6. Step 6: Final answer
    x = 264.08

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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.