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Finding the Fourth Proportional to 358, 537 and 101.50

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Solution

The fourth proportional to 358, 537 and 101.50 is: 152.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    358 : 537 = 101.50 : x
  2. Step 2: Convert to fraction form
    358/537 = 101.50/x
  3. Step 3: Cross multiply
    358x = 537 × 101.50
  4. Step 4: Simplify right side
    358x = 54,505.50
  5. Step 5: Solve for x
    x = 54,505.50/358
  6. Step 6: Final answer
    x = 152.25

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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.