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Finding the Fourth Proportional to 359, 495 and 242.36

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Solution

The fourth proportional to 359, 495 and 242.36 is: 334.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    359 : 495 = 242.36 : x
  2. Step 2: Convert to fraction form
    359/495 = 242.36/x
  3. Step 3: Cross multiply
    359x = 495 × 242.36
  4. Step 4: Simplify right side
    359x = 119,968.20
  5. Step 5: Solve for x
    x = 119,968.20/359
  6. Step 6: Final answer
    x = 334.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.